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Finding the Fourth Proportional to 10,285.64, 15,425.27 and 3,710.98

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Solution

The fourth proportional to 10,285.64, 15,425.27 and 3,710.98 is: 5,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.64 : 15,425.27 = 3,710.98 : x
  2. Step 2: Convert to fraction form
    10,285.64/15,425.27 = 3,710.98/x
  3. Step 3: Cross multiply
    10,285.64x = 15,425.27 × 3,710.98
  4. Step 4: Simplify right side
    10,285.64x = 57,242,772.78
  5. Step 5: Solve for x
    x = 57,242,772.78/10,285.64
  6. Step 6: Final answer
    x = 5,565.31

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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.