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Finding the Fourth Proportional to 10,566.47, 15,848.78 and 6,405.25

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Solution

The fourth proportional to 10,566.47, 15,848.78 and 6,405.25 is: 9,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.47 : 15,848.78 = 6,405.25 : x
  2. Step 2: Convert to fraction form
    10,566.47/15,848.78 = 6,405.25/x
  3. Step 3: Cross multiply
    10,566.47x = 15,848.78 × 6,405.25
  4. Step 4: Simplify right side
    10,566.47x = 101,515,398.10
  5. Step 5: Solve for x
    x = 101,515,398.10/10,566.47
  6. Step 6: Final answer
    x = 9,607.32

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