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Finding the Fourth Proportional to 8,158.30, 12,210.44 and 7,017.82

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Solution

The fourth proportional to 8,158.30, 12,210.44 and 7,017.82 is: 10,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.30 : 12,210.44 = 7,017.82 : x
  2. Step 2: Convert to fraction form
    8,158.30/12,210.44 = 7,017.82/x
  3. Step 3: Cross multiply
    8,158.30x = 12,210.44 × 7,017.82
  4. Step 4: Simplify right side
    8,158.30x = 85,690,670.04
  5. Step 5: Solve for x
    x = 85,690,670.04/8,158.30
  6. Step 6: Final answer
    x = 10,503.50

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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.