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Finding the Fourth Proportional to 8,780.92, 13,058.48 and 8,504.06

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Solution

The fourth proportional to 8,780.92, 13,058.48 and 8,504.06 is: 12,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.92 : 13,058.48 = 8,504.06 : x
  2. Step 2: Convert to fraction form
    8,780.92/13,058.48 = 8,504.06/x
  3. Step 3: Cross multiply
    8,780.92x = 13,058.48 × 8,504.06
  4. Step 4: Simplify right side
    8,780.92x = 111,050,097.43
  5. Step 5: Solve for x
    x = 111,050,097.43/8,780.92
  6. Step 6: Final answer
    x = 12,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.