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Finding the Fourth Proportional to 10,123.53, 13,969.80 and 5,585.94

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Solution

The fourth proportional to 10,123.53, 13,969.80 and 5,585.94 is: 7,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.53 : 13,969.80 = 5,585.94 : x
  2. Step 2: Convert to fraction form
    10,123.53/13,969.80 = 5,585.94/x
  3. Step 3: Cross multiply
    10,123.53x = 13,969.80 × 5,585.94
  4. Step 4: Simplify right side
    10,123.53x = 78,034,464.61
  5. Step 5: Solve for x
    x = 78,034,464.61/10,123.53
  6. Step 6: Final answer
    x = 7,708.23

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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.