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Finding the Fourth Proportional to 11,417.15, 15,753.65 and 6,379.76

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Solution

The fourth proportional to 11,417.15, 15,753.65 and 6,379.76 is: 8,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.15 : 15,753.65 = 6,379.76 : x
  2. Step 2: Convert to fraction form
    11,417.15/15,753.65 = 6,379.76/x
  3. Step 3: Cross multiply
    11,417.15x = 15,753.65 × 6,379.76
  4. Step 4: Simplify right side
    11,417.15x = 100,504,395.46
  5. Step 5: Solve for x
    x = 100,504,395.46/11,417.15
  6. Step 6: Final answer
    x = 8,802.94

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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.