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Finding the Fourth Proportional to 8,746.80, 12,070.14 and 4,767.88

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Solution

The fourth proportional to 8,746.80, 12,070.14 and 4,767.88 is: 6,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.80 : 12,070.14 = 4,767.88 : x
  2. Step 2: Convert to fraction form
    8,746.80/12,070.14 = 4,767.88/x
  3. Step 3: Cross multiply
    8,746.80x = 12,070.14 × 4,767.88
  4. Step 4: Simplify right side
    8,746.80x = 57,548,979.10
  5. Step 5: Solve for x
    x = 57,548,979.10/8,746.80
  6. Step 6: Final answer
    x = 6,579.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.