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Finding the Fourth Proportional to 6,159.60, 8,496.72 and 4,166.64

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Solution

The fourth proportional to 6,159.60, 8,496.72 and 4,166.64 is: 5,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.60 : 8,496.72 = 4,166.64 : x
  2. Step 2: Convert to fraction form
    6,159.60/8,496.72 = 4,166.64/x
  3. Step 3: Cross multiply
    6,159.60x = 8,496.72 × 4,166.64
  4. Step 4: Simplify right side
    6,159.60x = 35,402,773.42
  5. Step 5: Solve for x
    x = 35,402,773.42/6,159.60
  6. Step 6: Final answer
    x = 5,747.58

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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.