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Finding the Fourth Proportional to 10,031.78, 13,848.47 and 7,162.76

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Solution

The fourth proportional to 10,031.78, 13,848.47 and 7,162.76 is: 9,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.78 : 13,848.47 = 7,162.76 : x
  2. Step 2: Convert to fraction form
    10,031.78/13,848.47 = 7,162.76/x
  3. Step 3: Cross multiply
    10,031.78x = 13,848.47 × 7,162.76
  4. Step 4: Simplify right side
    10,031.78x = 99,193,292.64
  5. Step 5: Solve for x
    x = 99,193,292.64/10,031.78
  6. Step 6: Final answer
    x = 9,887.90

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