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Finding the Fourth Proportional to 7,492.66, 10,339.90 and 4,135.50

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Solution

The fourth proportional to 7,492.66, 10,339.90 and 4,135.50 is: 5,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.66 : 10,339.90 = 4,135.50 : x
  2. Step 2: Convert to fraction form
    7,492.66/10,339.90 = 4,135.50/x
  3. Step 3: Cross multiply
    7,492.66x = 10,339.90 × 4,135.50
  4. Step 4: Simplify right side
    7,492.66x = 42,760,646.11
  5. Step 5: Solve for x
    x = 42,760,646.11/7,492.66
  6. Step 6: Final answer
    x = 5,707.01

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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.