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Finding the Fourth Proportional to 8,566.46, 12,858.42 and 4,617.56

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Solution

The fourth proportional to 8,566.46, 12,858.42 and 4,617.56 is: 6,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.46 : 12,858.42 = 4,617.56 : x
  2. Step 2: Convert to fraction form
    8,566.46/12,858.42 = 4,617.56/x
  3. Step 3: Cross multiply
    8,566.46x = 12,858.42 × 4,617.56
  4. Step 4: Simplify right side
    8,566.46x = 59,374,525.86
  5. Step 5: Solve for x
    x = 59,374,525.86/8,566.46
  6. Step 6: Final answer
    x = 6,931.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.