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Finding the Fourth Proportional to 7,838.91, 10,818.36 and 4,302.72

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Solution

The fourth proportional to 7,838.91, 10,818.36 and 4,302.72 is: 5,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.91 : 10,818.36 = 4,302.72 : x
  2. Step 2: Convert to fraction form
    7,838.91/10,818.36 = 4,302.72/x
  3. Step 3: Cross multiply
    7,838.91x = 10,818.36 × 4,302.72
  4. Step 4: Simplify right side
    7,838.91x = 46,548,373.94
  5. Step 5: Solve for x
    x = 46,548,373.94/7,838.91
  6. Step 6: Final answer
    x = 5,938.12

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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.