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Finding the Fourth Proportional to 11,506.64, 15,878.60 and 6,540.24

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Solution

The fourth proportional to 11,506.64, 15,878.60 and 6,540.24 is: 9,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.64 : 15,878.60 = 6,540.24 : x
  2. Step 2: Convert to fraction form
    11,506.64/15,878.60 = 6,540.24/x
  3. Step 3: Cross multiply
    11,506.64x = 15,878.60 × 6,540.24
  4. Step 4: Simplify right side
    11,506.64x = 103,849,854.86
  5. Step 5: Solve for x
    x = 103,849,854.86/11,506.64
  6. Step 6: Final answer
    x = 9,025.21

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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.