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Finding the Fourth Proportional to 8,831.76, 12,188.04 and 4,853.25

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Solution

The fourth proportional to 8,831.76, 12,188.04 and 4,853.25 is: 6,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.76 : 12,188.04 = 4,853.25 : x
  2. Step 2: Convert to fraction form
    8,831.76/12,188.04 = 4,853.25/x
  3. Step 3: Cross multiply
    8,831.76x = 12,188.04 × 4,853.25
  4. Step 4: Simplify right side
    8,831.76x = 59,151,605.13
  5. Step 5: Solve for x
    x = 59,151,605.13/8,831.76
  6. Step 6: Final answer
    x = 6,697.60

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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.