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Finding the Fourth Proportional to 8,429.76, 12,647.06 and 2,587.23

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Solution

The fourth proportional to 8,429.76, 12,647.06 and 2,587.23 is: 3,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.76 : 12,647.06 = 2,587.23 : x
  2. Step 2: Convert to fraction form
    8,429.76/12,647.06 = 2,587.23/x
  3. Step 3: Cross multiply
    8,429.76x = 12,647.06 × 2,587.23
  4. Step 4: Simplify right side
    8,429.76x = 32,720,840.11
  5. Step 5: Solve for x
    x = 32,720,840.11/8,429.76
  6. Step 6: Final answer
    x = 3,881.59

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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.