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Finding the Fourth Proportional to 10,558.48, 15,824.76 and 7,646.80

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Solution

The fourth proportional to 10,558.48, 15,824.76 and 7,646.80 is: 11,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.48 : 15,824.76 = 7,646.80 : x
  2. Step 2: Convert to fraction form
    10,558.48/15,824.76 = 7,646.80/x
  3. Step 3: Cross multiply
    10,558.48x = 15,824.76 × 7,646.80
  4. Step 4: Simplify right side
    10,558.48x = 121,008,774.77
  5. Step 5: Solve for x
    x = 121,008,774.77/10,558.48
  6. Step 6: Final answer
    x = 11,460.81

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