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Finding the Fourth Proportional to 10,747.68, 14,832 and 6,031.68

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Solution

The fourth proportional to 10,747.68, 14,832 and 6,031.68 is: 8,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.68 : 14,832 = 6,031.68 : x
  2. Step 2: Convert to fraction form
    10,747.68/14,832 = 6,031.68/x
  3. Step 3: Cross multiply
    10,747.68x = 14,832 × 6,031.68
  4. Step 4: Simplify right side
    10,747.68x = 89,461,877.76
  5. Step 5: Solve for x
    x = 89,461,877.76/10,747.68
  6. Step 6: Final answer
    x = 8,323.83

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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.