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Finding the Fourth Proportional to 8,420.90, 12,631.68 and 2,497.77

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Solution

The fourth proportional to 8,420.90, 12,631.68 and 2,497.77 is: 3,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.90 : 12,631.68 = 2,497.77 : x
  2. Step 2: Convert to fraction form
    8,420.90/12,631.68 = 2,497.77/x
  3. Step 3: Cross multiply
    8,420.90x = 12,631.68 × 2,497.77
  4. Step 4: Simplify right side
    8,420.90x = 31,551,031.35
  5. Step 5: Solve for x
    x = 31,551,031.35/8,420.90
  6. Step 6: Final answer
    x = 3,746.76

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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.