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Finding the Fourth Proportional to 10,489.90, 15,733.08 and 3,914.32

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Solution

The fourth proportional to 10,489.90, 15,733.08 and 3,914.32 is: 5,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.90 : 15,733.08 = 3,914.32 : x
  2. Step 2: Convert to fraction form
    10,489.90/15,733.08 = 3,914.32/x
  3. Step 3: Cross multiply
    10,489.90x = 15,733.08 × 3,914.32
  4. Step 4: Simplify right side
    10,489.90x = 61,584,309.71
  5. Step 5: Solve for x
    x = 61,584,309.71/10,489.90
  6. Step 6: Final answer
    x = 5,870.82

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