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Finding the Fourth Proportional to 11,393.28, 15,724.08 and 6,917.76

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Solution

The fourth proportional to 11,393.28, 15,724.08 and 6,917.76 is: 9,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.28 : 15,724.08 = 6,917.76 : x
  2. Step 2: Convert to fraction form
    11,393.28/15,724.08 = 6,917.76/x
  3. Step 3: Cross multiply
    11,393.28x = 15,724.08 × 6,917.76
  4. Step 4: Simplify right side
    11,393.28x = 108,775,411.66
  5. Step 5: Solve for x
    x = 108,775,411.66/11,393.28
  6. Step 6: Final answer
    x = 9,547.33

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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.