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Finding the Fourth Proportional to 7,899.96, 10,898.52 and 4,542

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Solution

The fourth proportional to 7,899.96, 10,898.52 and 4,542 is: 6,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.96 : 10,898.52 = 4,542 : x
  2. Step 2: Convert to fraction form
    7,899.96/10,898.52 = 4,542/x
  3. Step 3: Cross multiply
    7,899.96x = 10,898.52 × 4,542
  4. Step 4: Simplify right side
    7,899.96x = 49,501,077.84
  5. Step 5: Solve for x
    x = 49,501,077.84/7,899.96
  6. Step 6: Final answer
    x = 6,265.99

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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.