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Finding the Fourth Proportional to 10,379.59, 14,323.92 and 5,663.95

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Solution

The fourth proportional to 10,379.59, 14,323.92 and 5,663.95 is: 7,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.59 : 14,323.92 = 5,663.95 : x
  2. Step 2: Convert to fraction form
    10,379.59/14,323.92 = 5,663.95/x
  3. Step 3: Cross multiply
    10,379.59x = 14,323.92 × 5,663.95
  4. Step 4: Simplify right side
    10,379.59x = 81,129,966.68
  5. Step 5: Solve for x
    x = 81,129,966.68/10,379.59
  6. Step 6: Final answer
    x = 7,816.30

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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.