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Finding the Fourth Proportional to 8,686.68, 11,987.64 and 4,707.76

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Solution

The fourth proportional to 8,686.68, 11,987.64 and 4,707.76 is: 6,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.68 : 11,987.64 = 4,707.76 : x
  2. Step 2: Convert to fraction form
    8,686.68/11,987.64 = 4,707.76/x
  3. Step 3: Cross multiply
    8,686.68x = 11,987.64 × 4,707.76
  4. Step 4: Simplify right side
    8,686.68x = 56,434,932.09
  5. Step 5: Solve for x
    x = 56,434,932.09/8,686.68
  6. Step 6: Final answer
    x = 6,496.72

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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.