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Finding the Fourth Proportional to 10,218.42, 14,101.02 and 6,246.18

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Solution

The fourth proportional to 10,218.42, 14,101.02 and 6,246.18 is: 8,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.42 : 14,101.02 = 6,246.18 : x
  2. Step 2: Convert to fraction form
    10,218.42/14,101.02 = 6,246.18/x
  3. Step 3: Cross multiply
    10,218.42x = 14,101.02 × 6,246.18
  4. Step 4: Simplify right side
    10,218.42x = 88,077,509.10
  5. Step 5: Solve for x
    x = 88,077,509.10/10,218.42
  6. Step 6: Final answer
    x = 8,619.48

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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.