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Finding the Fourth Proportional to 10,665.74, 14,725.98 and 6,898.02

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Solution

The fourth proportional to 10,665.74, 14,725.98 and 6,898.02 is: 9,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.74 : 14,725.98 = 6,898.02 : x
  2. Step 2: Convert to fraction form
    10,665.74/14,725.98 = 6,898.02/x
  3. Step 3: Cross multiply
    10,665.74x = 14,725.98 × 6,898.02
  4. Step 4: Simplify right side
    10,665.74x = 101,580,104.56
  5. Step 5: Solve for x
    x = 101,580,104.56/10,665.74
  6. Step 6: Final answer
    x = 9,523.96

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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.