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Finding the Fourth Proportional to 11,265.76, 15,544.28 and 6,547.60

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Solution

The fourth proportional to 11,265.76, 15,544.28 and 6,547.60 is: 9,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.76 : 15,544.28 = 6,547.60 : x
  2. Step 2: Convert to fraction form
    11,265.76/15,544.28 = 6,547.60/x
  3. Step 3: Cross multiply
    11,265.76x = 15,544.28 × 6,547.60
  4. Step 4: Simplify right side
    11,265.76x = 101,777,727.73
  5. Step 5: Solve for x
    x = 101,777,727.73/11,265.76
  6. Step 6: Final answer
    x = 9,034.25

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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.