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Finding the Fourth Proportional to 7,348.65, 10,142.38 and 4,366.09

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Solution

The fourth proportional to 7,348.65, 10,142.38 and 4,366.09 is: 6,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.65 : 10,142.38 = 4,366.09 : x
  2. Step 2: Convert to fraction form
    7,348.65/10,142.38 = 4,366.09/x
  3. Step 3: Cross multiply
    7,348.65x = 10,142.38 × 4,366.09
  4. Step 4: Simplify right side
    7,348.65x = 44,282,543.89
  5. Step 5: Solve for x
    x = 44,282,543.89/7,348.65
  6. Step 6: Final answer
    x = 6,025.94

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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.