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Finding the Fourth Proportional to 10,023.41, 13,831.93 and 5,486.20

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Solution

The fourth proportional to 10,023.41, 13,831.93 and 5,486.20 is: 7,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.41 : 13,831.93 = 5,486.20 : x
  2. Step 2: Convert to fraction form
    10,023.41/13,831.93 = 5,486.20/x
  3. Step 3: Cross multiply
    10,023.41x = 13,831.93 × 5,486.20
  4. Step 4: Simplify right side
    10,023.41x = 75,884,706.64
  5. Step 5: Solve for x
    x = 75,884,706.64/10,023.41
  6. Step 6: Final answer
    x = 7,570.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.