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Finding the Fourth Proportional to 11,256.52, 15,532.66 and 6,780.20

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Solution

The fourth proportional to 11,256.52, 15,532.66 and 6,780.20 is: 9,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.52 : 15,532.66 = 6,780.20 : x
  2. Step 2: Convert to fraction form
    11,256.52/15,532.66 = 6,780.20/x
  3. Step 3: Cross multiply
    11,256.52x = 15,532.66 × 6,780.20
  4. Step 4: Simplify right side
    11,256.52x = 105,314,541.33
  5. Step 5: Solve for x
    x = 105,314,541.33/11,256.52
  6. Step 6: Final answer
    x = 9,355.87

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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.