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Finding the Fourth Proportional to 10,358.76, 14,294.97 and 5,642.94

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Solution

The fourth proportional to 10,358.76, 14,294.97 and 5,642.94 is: 7,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.76 : 14,294.97 = 5,642.94 : x
  2. Step 2: Convert to fraction form
    10,358.76/14,294.97 = 5,642.94/x
  3. Step 3: Cross multiply
    10,358.76x = 14,294.97 × 5,642.94
  4. Step 4: Simplify right side
    10,358.76x = 80,665,658.01
  5. Step 5: Solve for x
    x = 80,665,658.01/10,358.76
  6. Step 6: Final answer
    x = 7,787.19

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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.