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Finding the Fourth Proportional to 10,516.04, 15,773.68 and 4,274.36

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Solution

The fourth proportional to 10,516.04, 15,773.68 and 4,274.36 is: 6,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.04 : 15,773.68 = 4,274.36 : x
  2. Step 2: Convert to fraction form
    10,516.04/15,773.68 = 4,274.36/x
  3. Step 3: Cross multiply
    10,516.04x = 15,773.68 × 4,274.36
  4. Step 4: Simplify right side
    10,516.04x = 67,422,372.47
  5. Step 5: Solve for x
    x = 67,422,372.47/10,516.04
  6. Step 6: Final answer
    x = 6,411.38

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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.