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Finding the Fourth Proportional to 11,397.61, 15,728.65 and 6,361.77

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Solution

The fourth proportional to 11,397.61, 15,728.65 and 6,361.77 is: 8,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.61 : 15,728.65 = 6,361.77 : x
  2. Step 2: Convert to fraction form
    11,397.61/15,728.65 = 6,361.77/x
  3. Step 3: Cross multiply
    11,397.61x = 15,728.65 × 6,361.77
  4. Step 4: Simplify right side
    11,397.61x = 100,062,053.71
  5. Step 5: Solve for x
    x = 100,062,053.71/11,397.61
  6. Step 6: Final answer
    x = 8,779.21

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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.