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Finding the Fourth Proportional to 10,686.68, 14,750.48 and 6,149.88

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Solution

The fourth proportional to 10,686.68, 14,750.48 and 6,149.88 is: 8,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.68 : 14,750.48 = 6,149.88 : x
  2. Step 2: Convert to fraction form
    10,686.68/14,750.48 = 6,149.88/x
  3. Step 3: Cross multiply
    10,686.68x = 14,750.48 × 6,149.88
  4. Step 4: Simplify right side
    10,686.68x = 90,713,681.94
  5. Step 5: Solve for x
    x = 90,713,681.94/10,686.68
  6. Step 6: Final answer
    x = 8,488.48

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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.