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Finding the Fourth Proportional to 10,475.95, 15,695.47 and 5,534.71

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Solution

The fourth proportional to 10,475.95, 15,695.47 and 5,534.71 is: 8,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.95 : 15,695.47 = 5,534.71 : x
  2. Step 2: Convert to fraction form
    10,475.95/15,695.47 = 5,534.71/x
  3. Step 3: Cross multiply
    10,475.95x = 15,695.47 × 5,534.71
  4. Step 4: Simplify right side
    10,475.95x = 86,869,874.76
  5. Step 5: Solve for x
    x = 86,869,874.76/10,475.95
  6. Step 6: Final answer
    x = 8,292.31

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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.