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Finding the Fourth Proportional to 11,368.46, 15,684.12 and 7,117.76

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Solution

The fourth proportional to 11,368.46, 15,684.12 and 7,117.76 is: 9,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.46 : 15,684.12 = 7,117.76 : x
  2. Step 2: Convert to fraction form
    11,368.46/15,684.12 = 7,117.76/x
  3. Step 3: Cross multiply
    11,368.46x = 15,684.12 × 7,117.76
  4. Step 4: Simplify right side
    11,368.46x = 111,635,723.55
  5. Step 5: Solve for x
    x = 111,635,723.55/11,368.46
  6. Step 6: Final answer
    x = 9,819.78

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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.