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Finding the Fourth Proportional to 10,583.69, 15,875.40 and 3,565.25

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Solution

The fourth proportional to 10,583.69, 15,875.40 and 3,565.25 is: 5,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.69 : 15,875.40 = 3,565.25 : x
  2. Step 2: Convert to fraction form
    10,583.69/15,875.40 = 3,565.25/x
  3. Step 3: Cross multiply
    10,583.69x = 15,875.40 × 3,565.25
  4. Step 4: Simplify right side
    10,583.69x = 56,599,769.85
  5. Step 5: Solve for x
    x = 56,599,769.85/10,583.69
  6. Step 6: Final answer
    x = 5,347.83

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