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Finding the Fourth Proportional to 11,430.62, 15,773.61 and 6,393.86

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Solution

The fourth proportional to 11,430.62, 15,773.61 and 6,393.86 is: 8,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.62 : 15,773.61 = 6,393.86 : x
  2. Step 2: Convert to fraction form
    11,430.62/15,773.61 = 6,393.86/x
  3. Step 3: Cross multiply
    11,430.62x = 15,773.61 × 6,393.86
  4. Step 4: Simplify right side
    11,430.62x = 100,854,293.47
  5. Step 5: Solve for x
    x = 100,854,293.47/11,430.62
  6. Step 6: Final answer
    x = 8,823.17

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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.