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Finding the Fourth Proportional to 8,547.27, 11,782.31 and 6,655.52

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Solution

The fourth proportional to 8,547.27, 11,782.31 and 6,655.52 is: 9,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.27 : 11,782.31 = 6,655.52 : x
  2. Step 2: Convert to fraction form
    8,547.27/11,782.31 = 6,655.52/x
  3. Step 3: Cross multiply
    8,547.27x = 11,782.31 × 6,655.52
  4. Step 4: Simplify right side
    8,547.27x = 78,417,367.19
  5. Step 5: Solve for x
    x = 78,417,367.19/8,547.27
  6. Step 6: Final answer
    x = 9,174.55

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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.