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Finding the Fourth Proportional to 8,283.59, 12,410.62 and 7,102

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Solution

The fourth proportional to 8,283.59, 12,410.62 and 7,102 is: 10,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.59 : 12,410.62 = 7,102 : x
  2. Step 2: Convert to fraction form
    8,283.59/12,410.62 = 7,102/x
  3. Step 3: Cross multiply
    8,283.59x = 12,410.62 × 7,102
  4. Step 4: Simplify right side
    8,283.59x = 88,140,223.24
  5. Step 5: Solve for x
    x = 88,140,223.24/8,283.59
  6. Step 6: Final answer
    x = 10,640.34

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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.