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Finding the Fourth Proportional to 7,378.34, 10,184.25 and 4,862.30

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Solution

The fourth proportional to 7,378.34, 10,184.25 and 4,862.30 is: 6,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.34 : 10,184.25 = 4,862.30 : x
  2. Step 2: Convert to fraction form
    7,378.34/10,184.25 = 4,862.30/x
  3. Step 3: Cross multiply
    7,378.34x = 10,184.25 × 4,862.30
  4. Step 4: Simplify right side
    7,378.34x = 49,518,878.78
  5. Step 5: Solve for x
    x = 49,518,878.78/7,378.34
  6. Step 6: Final answer
    x = 6,711.38

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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.