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Finding the Fourth Proportional to 8,261.60, 12,376.16 and 4,964.96

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Solution

The fourth proportional to 8,261.60, 12,376.16 and 4,964.96 is: 7,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.60 : 12,376.16 = 4,964.96 : x
  2. Step 2: Convert to fraction form
    8,261.60/12,376.16 = 4,964.96/x
  3. Step 3: Cross multiply
    8,261.60x = 12,376.16 × 4,964.96
  4. Step 4: Simplify right side
    8,261.60x = 61,447,139.35
  5. Step 5: Solve for x
    x = 61,447,139.35/8,261.60
  6. Step 6: Final answer
    x = 7,437.68

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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.