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Finding the Fourth Proportional to 8,686.54, 11,987.46 and 4,707.64

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Solution

The fourth proportional to 8,686.54, 11,987.46 and 4,707.64 is: 6,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.54 : 11,987.46 = 4,707.64 : x
  2. Step 2: Convert to fraction form
    8,686.54/11,987.46 = 4,707.64/x
  3. Step 3: Cross multiply
    8,686.54x = 11,987.46 × 4,707.64
  4. Step 4: Simplify right side
    8,686.54x = 56,432,646.19
  5. Step 5: Solve for x
    x = 56,432,646.19/8,686.54
  6. Step 6: Final answer
    x = 6,496.56

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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.