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Finding the Fourth Proportional to 10,624.05, 15,896.76 and 6,409.74

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Solution

The fourth proportional to 10,624.05, 15,896.76 and 6,409.74 is: 9,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.05 : 15,896.76 = 6,409.74 : x
  2. Step 2: Convert to fraction form
    10,624.05/15,896.76 = 6,409.74/x
  3. Step 3: Cross multiply
    10,624.05x = 15,896.76 × 6,409.74
  4. Step 4: Simplify right side
    10,624.05x = 101,894,066.39
  5. Step 5: Solve for x
    x = 101,894,066.39/10,624.05
  6. Step 6: Final answer
    x = 9,590.89

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