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Finding the Fourth Proportional to 11,514.64, 15,888.06 and 8,681.20

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Solution

The fourth proportional to 11,514.64, 15,888.06 and 8,681.20 is: 11,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.64 : 15,888.06 = 8,681.20 : x
  2. Step 2: Convert to fraction form
    11,514.64/15,888.06 = 8,681.20/x
  3. Step 3: Cross multiply
    11,514.64x = 15,888.06 × 8,681.20
  4. Step 4: Simplify right side
    11,514.64x = 137,927,426.47
  5. Step 5: Solve for x
    x = 137,927,426.47/11,514.64
  6. Step 6: Final answer
    x = 11,978.44

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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.