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Finding the Fourth Proportional to 10,032.57, 15,050.87 and 6,914.07

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Solution

The fourth proportional to 10,032.57, 15,050.87 and 6,914.07 is: 10,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.57 : 15,050.87 = 6,914.07 : x
  2. Step 2: Convert to fraction form
    10,032.57/15,050.87 = 6,914.07/x
  3. Step 3: Cross multiply
    10,032.57x = 15,050.87 × 6,914.07
  4. Step 4: Simplify right side
    10,032.57x = 104,062,768.74
  5. Step 5: Solve for x
    x = 104,062,768.74/10,032.57
  6. Step 6: Final answer
    x = 10,372.49

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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.