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Finding the Fourth Proportional to 10,577.01, 15,864.27 and 4,251.63

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Solution

The fourth proportional to 10,577.01, 15,864.27 and 4,251.63 is: 6,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.01 : 15,864.27 = 4,251.63 : x
  2. Step 2: Convert to fraction form
    10,577.01/15,864.27 = 4,251.63/x
  3. Step 3: Cross multiply
    10,577.01x = 15,864.27 × 4,251.63
  4. Step 4: Simplify right side
    10,577.01x = 67,449,006.26
  5. Step 5: Solve for x
    x = 67,449,006.26/10,577.01
  6. Step 6: Final answer
    x = 6,376.94

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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.