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Finding the Fourth Proportional to 7,865.70, 11,798.16 and 2,934.96

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Solution

The fourth proportional to 7,865.70, 11,798.16 and 2,934.96 is: 4,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.70 : 11,798.16 = 2,934.96 : x
  2. Step 2: Convert to fraction form
    7,865.70/11,798.16 = 2,934.96/x
  3. Step 3: Cross multiply
    7,865.70x = 11,798.16 × 2,934.96
  4. Step 4: Simplify right side
    7,865.70x = 34,627,127.67
  5. Step 5: Solve for x
    x = 34,627,127.67/7,865.70
  6. Step 6: Final answer
    x = 4,402.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.