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Finding the Fourth Proportional to 10,938.61, 16,398.15 and 4,011.49

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Solution

The fourth proportional to 10,938.61, 16,398.15 and 4,011.49 is: 6,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.61 : 16,398.15 = 4,011.49 : x
  2. Step 2: Convert to fraction form
    10,938.61/16,398.15 = 4,011.49/x
  3. Step 3: Cross multiply
    10,938.61x = 16,398.15 × 4,011.49
  4. Step 4: Simplify right side
    10,938.61x = 65,781,014.74
  5. Step 5: Solve for x
    x = 65,781,014.74/10,938.61
  6. Step 6: Final answer
    x = 6,013.65

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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.