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Finding the Fourth Proportional to 10,675.71, 16,021.43 and 5,132.25

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Solution

The fourth proportional to 10,675.71, 16,021.43 and 5,132.25 is: 7,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.71 : 16,021.43 = 5,132.25 : x
  2. Step 2: Convert to fraction form
    10,675.71/16,021.43 = 5,132.25/x
  3. Step 3: Cross multiply
    10,675.71x = 16,021.43 × 5,132.25
  4. Step 4: Simplify right side
    10,675.71x = 82,225,984.12
  5. Step 5: Solve for x
    x = 82,225,984.12/10,675.71
  6. Step 6: Final answer
    x = 7,702.16

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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.