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Finding the Fourth Proportional to 8,461.32, 12,688.82 and 2,913.12

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Solution

The fourth proportional to 8,461.32, 12,688.82 and 2,913.12 is: 4,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.32 : 12,688.82 = 2,913.12 : x
  2. Step 2: Convert to fraction form
    8,461.32/12,688.82 = 2,913.12/x
  3. Step 3: Cross multiply
    8,461.32x = 12,688.82 × 2,913.12
  4. Step 4: Simplify right side
    8,461.32x = 36,964,055.32
  5. Step 5: Solve for x
    x = 36,964,055.32/8,461.32
  6. Step 6: Final answer
    x = 4,368.59

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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.