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Finding the Fourth Proportional to 10,123.56, 13,965.75 and 6,585.48

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Solution

The fourth proportional to 10,123.56, 13,965.75 and 6,585.48 is: 9,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.56 : 13,965.75 = 6,585.48 : x
  2. Step 2: Convert to fraction form
    10,123.56/13,965.75 = 6,585.48/x
  3. Step 3: Cross multiply
    10,123.56x = 13,965.75 × 6,585.48
  4. Step 4: Simplify right side
    10,123.56x = 91,971,167.31
  5. Step 5: Solve for x
    x = 91,971,167.31/10,123.56
  6. Step 6: Final answer
    x = 9,084.86

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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.