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Finding the Fourth Proportional to 10,306.52, 15,461.01 and 3,641.64

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Solution

The fourth proportional to 10,306.52, 15,461.01 and 3,641.64 is: 5,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.52 : 15,461.01 = 3,641.64 : x
  2. Step 2: Convert to fraction form
    10,306.52/15,461.01 = 3,641.64/x
  3. Step 3: Cross multiply
    10,306.52x = 15,461.01 × 3,641.64
  4. Step 4: Simplify right side
    10,306.52x = 56,303,432.46
  5. Step 5: Solve for x
    x = 56,303,432.46/10,306.52
  6. Step 6: Final answer
    x = 5,462.89

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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.