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Finding the Fourth Proportional to 8,616.16, 12,924.72 and 2,460

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Solution

The fourth proportional to 8,616.16, 12,924.72 and 2,460 is: 3,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.16 : 12,924.72 = 2,460 : x
  2. Step 2: Convert to fraction form
    8,616.16/12,924.72 = 2,460/x
  3. Step 3: Cross multiply
    8,616.16x = 12,924.72 × 2,460
  4. Step 4: Simplify right side
    8,616.16x = 31,794,811.20
  5. Step 5: Solve for x
    x = 31,794,811.20/8,616.16
  6. Step 6: Final answer
    x = 3,690.14

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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.