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Finding the Fourth Proportional to 7,587.12, 10,469.88 and 4,446

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Solution

The fourth proportional to 7,587.12, 10,469.88 and 4,446 is: 6,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.12 : 10,469.88 = 4,446 : x
  2. Step 2: Convert to fraction form
    7,587.12/10,469.88 = 4,446/x
  3. Step 3: Cross multiply
    7,587.12x = 10,469.88 × 4,446
  4. Step 4: Simplify right side
    7,587.12x = 46,549,086.48
  5. Step 5: Solve for x
    x = 46,549,086.48/7,587.12
  6. Step 6: Final answer
    x = 6,135.28

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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.