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Finding the Fourth Proportional to 8,686.54, 13,029.81 and 6,101.02

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Solution

The fourth proportional to 8,686.54, 13,029.81 and 6,101.02 is: 9,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.54 : 13,029.81 = 6,101.02 : x
  2. Step 2: Convert to fraction form
    8,686.54/13,029.81 = 6,101.02/x
  3. Step 3: Cross multiply
    8,686.54x = 13,029.81 × 6,101.02
  4. Step 4: Simplify right side
    8,686.54x = 79,495,131.41
  5. Step 5: Solve for x
    x = 79,495,131.41/8,686.54
  6. Step 6: Final answer
    x = 9,151.53

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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.