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Finding the Fourth Proportional to 11,368.12, 15,686.88 and 6,332.15

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Solution

The fourth proportional to 11,368.12, 15,686.88 and 6,332.15 is: 8,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.12 : 15,686.88 = 6,332.15 : x
  2. Step 2: Convert to fraction form
    11,368.12/15,686.88 = 6,332.15/x
  3. Step 3: Cross multiply
    11,368.12x = 15,686.88 × 6,332.15
  4. Step 4: Simplify right side
    11,368.12x = 99,331,677.19
  5. Step 5: Solve for x
    x = 99,331,677.19/11,368.12
  6. Step 6: Final answer
    x = 8,737.74

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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.