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Finding the Fourth Proportional to 11,265.76, 15,547.44 and 6,297.76

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Solution

The fourth proportional to 11,265.76, 15,547.44 and 6,297.76 is: 8,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.76 : 15,547.44 = 6,297.76 : x
  2. Step 2: Convert to fraction form
    11,265.76/15,547.44 = 6,297.76/x
  3. Step 3: Cross multiply
    11,265.76x = 15,547.44 × 6,297.76
  4. Step 4: Simplify right side
    11,265.76x = 97,914,045.73
  5. Step 5: Solve for x
    x = 97,914,045.73/11,265.76
  6. Step 6: Final answer
    x = 8,691.30

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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.