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Finding the Fourth Proportional to 10,379.46, 14,323.63 and 5,663.74

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Solution

The fourth proportional to 10,379.46, 14,323.63 and 5,663.74 is: 7,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.46 : 14,323.63 = 5,663.74 : x
  2. Step 2: Convert to fraction form
    10,379.46/14,323.63 = 5,663.74/x
  3. Step 3: Cross multiply
    10,379.46x = 14,323.63 × 5,663.74
  4. Step 4: Simplify right side
    10,379.46x = 81,125,316.18
  5. Step 5: Solve for x
    x = 81,125,316.18/10,379.46
  6. Step 6: Final answer
    x = 7,815.95

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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.