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Finding the Fourth Proportional to 11,831.40, 17,742.08 and 5,253.08

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Solution

The fourth proportional to 11,831.40, 17,742.08 and 5,253.08 is: 7,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.40 : 17,742.08 = 5,253.08 : x
  2. Step 2: Convert to fraction form
    11,831.40/17,742.08 = 5,253.08/x
  3. Step 3: Cross multiply
    11,831.40x = 17,742.08 × 5,253.08
  4. Step 4: Simplify right side
    11,831.40x = 93,200,565.61
  5. Step 5: Solve for x
    x = 93,200,565.61/11,831.40
  6. Step 6: Final answer
    x = 7,877.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.