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Finding the Fourth Proportional to 8,587.52, 11,839.14 and 7,341.96

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Solution

The fourth proportional to 8,587.52, 11,839.14 and 7,341.96 is: 10,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.52 : 11,839.14 = 7,341.96 : x
  2. Step 2: Convert to fraction form
    8,587.52/11,839.14 = 7,341.96/x
  3. Step 3: Cross multiply
    8,587.52x = 11,839.14 × 7,341.96
  4. Step 4: Simplify right side
    8,587.52x = 86,922,492.31
  5. Step 5: Solve for x
    x = 86,922,492.31/8,587.52
  6. Step 6: Final answer
    x = 10,121.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.