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Finding the Fourth Proportional to 7,124.38, 9,831.35 and 4,140.19

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Solution

The fourth proportional to 7,124.38, 9,831.35 and 4,140.19 is: 5,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.38 : 9,831.35 = 4,140.19 : x
  2. Step 2: Convert to fraction form
    7,124.38/9,831.35 = 4,140.19/x
  3. Step 3: Cross multiply
    7,124.38x = 9,831.35 × 4,140.19
  4. Step 4: Simplify right side
    7,124.38x = 40,703,587.10
  5. Step 5: Solve for x
    x = 40,703,587.10/7,124.38
  6. Step 6: Final answer
    x = 5,713.29

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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.