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Finding the Fourth Proportional to 10,486.80, 14,468.52 and 5,948.73

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Solution

The fourth proportional to 10,486.80, 14,468.52 and 5,948.73 is: 8,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.80 : 14,468.52 = 5,948.73 : x
  2. Step 2: Convert to fraction form
    10,486.80/14,468.52 = 5,948.73/x
  3. Step 3: Cross multiply
    10,486.80x = 14,468.52 × 5,948.73
  4. Step 4: Simplify right side
    10,486.80x = 86,069,318.98
  5. Step 5: Solve for x
    x = 86,069,318.98/10,486.80
  6. Step 6: Final answer
    x = 8,207.40

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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.