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Finding the Fourth Proportional to 8,652.62, 12,977.55 and 2,411.98

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Solution

The fourth proportional to 8,652.62, 12,977.55 and 2,411.98 is: 3,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.62 : 12,977.55 = 2,411.98 : x
  2. Step 2: Convert to fraction form
    8,652.62/12,977.55 = 2,411.98/x
  3. Step 3: Cross multiply
    8,652.62x = 12,977.55 × 2,411.98
  4. Step 4: Simplify right side
    8,652.62x = 31,301,558.61
  5. Step 5: Solve for x
    x = 31,301,558.61/8,652.62
  6. Step 6: Final answer
    x = 3,617.58

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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.