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Finding the Fourth Proportional to 8,652.64, 12,966.78 and 4,949.32

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Solution

The fourth proportional to 8,652.64, 12,966.78 and 4,949.32 is: 7,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.64 : 12,966.78 = 4,949.32 : x
  2. Step 2: Convert to fraction form
    8,652.64/12,966.78 = 4,949.32/x
  3. Step 3: Cross multiply
    8,652.64x = 12,966.78 × 4,949.32
  4. Step 4: Simplify right side
    8,652.64x = 64,176,743.59
  5. Step 5: Solve for x
    x = 64,176,743.59/8,652.64
  6. Step 6: Final answer
    x = 7,417.01

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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.