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Finding the Fourth Proportional to 10,366.73, 14,306.08 and 6,117.80

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Solution

The fourth proportional to 10,366.73, 14,306.08 and 6,117.80 is: 8,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.73 : 14,306.08 = 6,117.80 : x
  2. Step 2: Convert to fraction form
    10,366.73/14,306.08 = 6,117.80/x
  3. Step 3: Cross multiply
    10,366.73x = 14,306.08 × 6,117.80
  4. Step 4: Simplify right side
    10,366.73x = 87,521,643.66
  5. Step 5: Solve for x
    x = 87,521,643.66/10,366.73
  6. Step 6: Final answer
    x = 8,442.55

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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.