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Finding the Fourth Proportional to 11,508.66, 15,882.53 and 6,474.47

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Solution

The fourth proportional to 11,508.66, 15,882.53 and 6,474.47 is: 8,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.66 : 15,882.53 = 6,474.47 : x
  2. Step 2: Convert to fraction form
    11,508.66/15,882.53 = 6,474.47/x
  3. Step 3: Cross multiply
    11,508.66x = 15,882.53 × 6,474.47
  4. Step 4: Simplify right side
    11,508.66x = 102,830,852.22
  5. Step 5: Solve for x
    x = 102,830,852.22/11,508.66
  6. Step 6: Final answer
    x = 8,935.08

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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.