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Finding the Fourth Proportional to 10,548.90, 15,831.12 and 5,002.22

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Solution

The fourth proportional to 10,548.90, 15,831.12 and 5,002.22 is: 7,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.90 : 15,831.12 = 5,002.22 : x
  2. Step 2: Convert to fraction form
    10,548.90/15,831.12 = 5,002.22/x
  3. Step 3: Cross multiply
    10,548.90x = 15,831.12 × 5,002.22
  4. Step 4: Simplify right side
    10,548.90x = 79,190,745.09
  5. Step 5: Solve for x
    x = 79,190,745.09/10,548.90
  6. Step 6: Final answer
    x = 7,507.01

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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.