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Finding the Fourth Proportional to 10,468.97, 15,690.68 and 4,914.90

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Solution

The fourth proportional to 10,468.97, 15,690.68 and 4,914.90 is: 7,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.97 : 15,690.68 = 4,914.90 : x
  2. Step 2: Convert to fraction form
    10,468.97/15,690.68 = 4,914.90/x
  3. Step 3: Cross multiply
    10,468.97x = 15,690.68 × 4,914.90
  4. Step 4: Simplify right side
    10,468.97x = 77,118,123.13
  5. Step 5: Solve for x
    x = 77,118,123.13/10,468.97
  6. Step 6: Final answer
    x = 7,366.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.