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Finding the Fourth Proportional to 10,358.34, 14,295.12 and 7,801.59

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Solution

The fourth proportional to 10,358.34, 14,295.12 and 7,801.59 is: 10,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.34 : 14,295.12 = 7,801.59 : x
  2. Step 2: Convert to fraction form
    10,358.34/14,295.12 = 7,801.59/x
  3. Step 3: Cross multiply
    10,358.34x = 14,295.12 × 7,801.59
  4. Step 4: Simplify right side
    10,358.34x = 111,524,665.24
  5. Step 5: Solve for x
    x = 111,524,665.24/10,358.34
  6. Step 6: Final answer
    x = 10,766.65

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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.