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Finding the Fourth Proportional to 10,197.02, 14,078.19 and 6,798.81

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Solution

The fourth proportional to 10,197.02, 14,078.19 and 6,798.81 is: 9,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.02 : 14,078.19 = 6,798.81 : x
  2. Step 2: Convert to fraction form
    10,197.02/14,078.19 = 6,798.81/x
  3. Step 3: Cross multiply
    10,197.02x = 14,078.19 × 6,798.81
  4. Step 4: Simplify right side
    10,197.02x = 95,714,895.86
  5. Step 5: Solve for x
    x = 95,714,895.86/10,197.02
  6. Step 6: Final answer
    x = 9,386.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.