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Finding the Fourth Proportional to 10,051.71, 15,086.82 and 5,125.02

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Solution

The fourth proportional to 10,051.71, 15,086.82 and 5,125.02 is: 7,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.71 : 15,086.82 = 5,125.02 : x
  2. Step 2: Convert to fraction form
    10,051.71/15,086.82 = 5,125.02/x
  3. Step 3: Cross multiply
    10,051.71x = 15,086.82 × 5,125.02
  4. Step 4: Simplify right side
    10,051.71x = 77,320,228.61
  5. Step 5: Solve for x
    x = 77,320,228.61/10,051.71
  6. Step 6: Final answer
    x = 7,692.25

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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.