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Finding the Fourth Proportional to 10,146.16, 14,002.72 and 5,898.52

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Solution

The fourth proportional to 10,146.16, 14,002.72 and 5,898.52 is: 8,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.16 : 14,002.72 = 5,898.52 : x
  2. Step 2: Convert to fraction form
    10,146.16/14,002.72 = 5,898.52/x
  3. Step 3: Cross multiply
    10,146.16x = 14,002.72 × 5,898.52
  4. Step 4: Simplify right side
    10,146.16x = 82,595,359.91
  5. Step 5: Solve for x
    x = 82,595,359.91/10,146.16
  6. Step 6: Final answer
    x = 8,140.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.