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Finding the Fourth Proportional to 11,042.74, 16,557.83 and 7,537

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Solution

The fourth proportional to 11,042.74, 16,557.83 and 7,537 is: 11,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.74 : 16,557.83 = 7,537 : x
  2. Step 2: Convert to fraction form
    11,042.74/16,557.83 = 7,537/x
  3. Step 3: Cross multiply
    11,042.74x = 16,557.83 × 7,537
  4. Step 4: Simplify right side
    11,042.74x = 124,796,364.71
  5. Step 5: Solve for x
    x = 124,796,364.71/11,042.74
  6. Step 6: Final answer
    x = 11,301.21

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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.