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Finding the Fourth Proportional to 7,839.70, 10,818.80 and 4,302.93

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Solution

The fourth proportional to 7,839.70, 10,818.80 and 4,302.93 is: 5,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.70 : 10,818.80 = 4,302.93 : x
  2. Step 2: Convert to fraction form
    7,839.70/10,818.80 = 4,302.93/x
  3. Step 3: Cross multiply
    7,839.70x = 10,818.80 × 4,302.93
  4. Step 4: Simplify right side
    7,839.70x = 46,552,539.08
  5. Step 5: Solve for x
    x = 46,552,539.08/7,839.70
  6. Step 6: Final answer
    x = 5,938.05

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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.