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Finding the Fourth Proportional to 10,469.64, 15,702.37 and 5,130.53

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Solution

The fourth proportional to 10,469.64, 15,702.37 and 5,130.53 is: 7,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.64 : 15,702.37 = 5,130.53 : x
  2. Step 2: Convert to fraction form
    10,469.64/15,702.37 = 5,130.53/x
  3. Step 3: Cross multiply
    10,469.64x = 15,702.37 × 5,130.53
  4. Step 4: Simplify right side
    10,469.64x = 80,561,389.02
  5. Step 5: Solve for x
    x = 80,561,389.02/10,469.64
  6. Step 6: Final answer
    x = 7,694.76

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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.