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Finding the Fourth Proportional to 8,038.60, 12,065.04 and 6,730.48

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Solution

The fourth proportional to 8,038.60, 12,065.04 and 6,730.48 is: 10,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.60 : 12,065.04 = 6,730.48 : x
  2. Step 2: Convert to fraction form
    8,038.60/12,065.04 = 6,730.48/x
  3. Step 3: Cross multiply
    8,038.60x = 12,065.04 × 6,730.48
  4. Step 4: Simplify right side
    8,038.60x = 81,203,510.42
  5. Step 5: Solve for x
    x = 81,203,510.42/8,038.60
  6. Step 6: Final answer
    x = 10,101.70

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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.