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Finding the Fourth Proportional to 10,494.77, 14,482.80 and 5,778.95

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Solution

The fourth proportional to 10,494.77, 14,482.80 and 5,778.95 is: 7,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.77 : 14,482.80 = 5,778.95 : x
  2. Step 2: Convert to fraction form
    10,494.77/14,482.80 = 5,778.95/x
  3. Step 3: Cross multiply
    10,494.77x = 14,482.80 × 5,778.95
  4. Step 4: Simplify right side
    10,494.77x = 83,695,304.65
  5. Step 5: Solve for x
    x = 83,695,304.65/10,494.77
  6. Step 6: Final answer
    x = 7,974.96

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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.