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Finding the Fourth Proportional to 8,127.46, 12,191.64 and 2,580.40

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Solution

The fourth proportional to 8,127.46, 12,191.64 and 2,580.40 is: 3,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.46 : 12,191.64 = 2,580.40 : x
  2. Step 2: Convert to fraction form
    8,127.46/12,191.64 = 2,580.40/x
  3. Step 3: Cross multiply
    8,127.46x = 12,191.64 × 2,580.40
  4. Step 4: Simplify right side
    8,127.46x = 31,459,307.86
  5. Step 5: Solve for x
    x = 31,459,307.86/8,127.46
  6. Step 6: Final answer
    x = 3,870.74

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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.