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Finding the Fourth Proportional to 10,741.85, 14,818.65 and 6,966.23

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Solution

The fourth proportional to 10,741.85, 14,818.65 and 6,966.23 is: 9,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.85 : 14,818.65 = 6,966.23 : x
  2. Step 2: Convert to fraction form
    10,741.85/14,818.65 = 6,966.23/x
  3. Step 3: Cross multiply
    10,741.85x = 14,818.65 × 6,966.23
  4. Step 4: Simplify right side
    10,741.85x = 103,230,124.19
  5. Step 5: Solve for x
    x = 103,230,124.19/10,741.85
  6. Step 6: Final answer
    x = 9,610.09

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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.