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Finding the Fourth Proportional to 10,742.86, 16,117.13 and 6,530.86

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Solution

The fourth proportional to 10,742.86, 16,117.13 and 6,530.86 is: 9,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.86 : 16,117.13 = 6,530.86 : x
  2. Step 2: Convert to fraction form
    10,742.86/16,117.13 = 6,530.86/x
  3. Step 3: Cross multiply
    10,742.86x = 16,117.13 × 6,530.86
  4. Step 4: Simplify right side
    10,742.86x = 105,258,719.63
  5. Step 5: Solve for x
    x = 105,258,719.63/10,742.86
  6. Step 6: Final answer
    x = 9,798.02

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