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Finding the Fourth Proportional to 12,302.76, 18,456.86 and 3,537

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Solution

The fourth proportional to 12,302.76, 18,456.86 and 3,537 is: 5,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.76 : 18,456.86 = 3,537 : x
  2. Step 2: Convert to fraction form
    12,302.76/18,456.86 = 3,537/x
  3. Step 3: Cross multiply
    12,302.76x = 18,456.86 × 3,537
  4. Step 4: Simplify right side
    12,302.76x = 65,281,913.82
  5. Step 5: Solve for x
    x = 65,281,913.82/12,302.76
  6. Step 6: Final answer
    x = 5,306.28

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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.