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Finding the Fourth Proportional to 7,798.38, 10,761.98 and 4,656.40

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Solution

The fourth proportional to 7,798.38, 10,761.98 and 4,656.40 is: 6,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.38 : 10,761.98 = 4,656.40 : x
  2. Step 2: Convert to fraction form
    7,798.38/10,761.98 = 4,656.40/x
  3. Step 3: Cross multiply
    7,798.38x = 10,761.98 × 4,656.40
  4. Step 4: Simplify right side
    7,798.38x = 50,112,083.67
  5. Step 5: Solve for x
    x = 50,112,083.67/7,798.38
  6. Step 6: Final answer
    x = 6,425.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.