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Finding the Fourth Proportional to 10,229, 14,110.56 and 6,866.12

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Solution

The fourth proportional to 10,229, 14,110.56 and 6,866.12 is: 9,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229 : 14,110.56 = 6,866.12 : x
  2. Step 2: Convert to fraction form
    10,229/14,110.56 = 6,866.12/x
  3. Step 3: Cross multiply
    10,229x = 14,110.56 × 6,866.12
  4. Step 4: Simplify right side
    10,229x = 96,884,798.23
  5. Step 5: Solve for x
    x = 96,884,798.23/10,229
  6. Step 6: Final answer
    x = 9,471.58

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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.