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Finding the Fourth Proportional to 8,405.32, 12,607.56 and 2,561.50

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Solution

The fourth proportional to 8,405.32, 12,607.56 and 2,561.50 is: 3,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.32 : 12,607.56 = 2,561.50 : x
  2. Step 2: Convert to fraction form
    8,405.32/12,607.56 = 2,561.50/x
  3. Step 3: Cross multiply
    8,405.32x = 12,607.56 × 2,561.50
  4. Step 4: Simplify right side
    8,405.32x = 32,294,264.94
  5. Step 5: Solve for x
    x = 32,294,264.94/8,405.32
  6. Step 6: Final answer
    x = 3,842.12

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Why These Related Problems?

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