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Finding the Fourth Proportional to 7,898.74, 10,901.12 and 4,542.14

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Solution

The fourth proportional to 7,898.74, 10,901.12 and 4,542.14 is: 6,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.74 : 10,901.12 = 4,542.14 : x
  2. Step 2: Convert to fraction form
    7,898.74/10,901.12 = 4,542.14/x
  3. Step 3: Cross multiply
    7,898.74x = 10,901.12 × 4,542.14
  4. Step 4: Simplify right side
    7,898.74x = 49,514,417.74
  5. Step 5: Solve for x
    x = 49,514,417.74/7,898.74
  6. Step 6: Final answer
    x = 6,268.65

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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.