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Finding the Fourth Proportional to 8,713.93, 13,070.49 and 2,869.78

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Solution

The fourth proportional to 8,713.93, 13,070.49 and 2,869.78 is: 4,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.93 : 13,070.49 = 2,869.78 : x
  2. Step 2: Convert to fraction form
    8,713.93/13,070.49 = 2,869.78/x
  3. Step 3: Cross multiply
    8,713.93x = 13,070.49 × 2,869.78
  4. Step 4: Simplify right side
    8,713.93x = 37,509,430.79
  5. Step 5: Solve for x
    x = 37,509,430.79/8,713.93
  6. Step 6: Final answer
    x = 4,304.54

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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.