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Finding the Fourth Proportional to 7,870.02, 10,860.18 and 4,512.12

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Solution

The fourth proportional to 7,870.02, 10,860.18 and 4,512.12 is: 6,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.02 : 10,860.18 = 4,512.12 : x
  2. Step 2: Convert to fraction form
    7,870.02/10,860.18 = 4,512.12/x
  3. Step 3: Cross multiply
    7,870.02x = 10,860.18 × 4,512.12
  4. Step 4: Simplify right side
    7,870.02x = 49,002,435.38
  5. Step 5: Solve for x
    x = 49,002,435.38/7,870.02
  6. Step 6: Final answer
    x = 6,226.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.