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Finding the Fourth Proportional to 7,478.01, 10,316.23 and 4,332.38

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Solution

The fourth proportional to 7,478.01, 10,316.23 and 4,332.38 is: 5,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.01 : 10,316.23 = 4,332.38 : x
  2. Step 2: Convert to fraction form
    7,478.01/10,316.23 = 4,332.38/x
  3. Step 3: Cross multiply
    7,478.01x = 10,316.23 × 4,332.38
  4. Step 4: Simplify right side
    7,478.01x = 44,693,766.12
  5. Step 5: Solve for x
    x = 44,693,766.12/7,478.01
  6. Step 6: Final answer
    x = 5,976.69

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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.