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Finding the Fourth Proportional to 8,574.93, 11,831.88 and 5,038.86

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Solution

The fourth proportional to 8,574.93, 11,831.88 and 5,038.86 is: 6,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.93 : 11,831.88 = 5,038.86 : x
  2. Step 2: Convert to fraction form
    8,574.93/11,831.88 = 5,038.86/x
  3. Step 3: Cross multiply
    8,574.93x = 11,831.88 × 5,038.86
  4. Step 4: Simplify right side
    8,574.93x = 59,619,186.86
  5. Step 5: Solve for x
    x = 59,619,186.86/8,574.93
  6. Step 6: Final answer
    x = 6,952.73

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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.