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Finding the Fourth Proportional to 8,686.32, 11,986.40 and 4,909.82

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Solution

The fourth proportional to 8,686.32, 11,986.40 and 4,909.82 is: 6,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.32 : 11,986.40 = 4,909.82 : x
  2. Step 2: Convert to fraction form
    8,686.32/11,986.40 = 4,909.82/x
  3. Step 3: Cross multiply
    8,686.32x = 11,986.40 × 4,909.82
  4. Step 4: Simplify right side
    8,686.32x = 58,851,066.45
  5. Step 5: Solve for x
    x = 58,851,066.45/8,686.32
  6. Step 6: Final answer
    x = 6,775.14

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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.