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Finding the Fourth Proportional to 7,381.71, 10,186.52 and 4,398.93

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Solution

The fourth proportional to 7,381.71, 10,186.52 and 4,398.93 is: 6,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.71 : 10,186.52 = 4,398.93 : x
  2. Step 2: Convert to fraction form
    7,381.71/10,186.52 = 4,398.93/x
  3. Step 3: Cross multiply
    7,381.71x = 10,186.52 × 4,398.93
  4. Step 4: Simplify right side
    7,381.71x = 44,809,766.43
  5. Step 5: Solve for x
    x = 44,809,766.43/7,381.71
  6. Step 6: Final answer
    x = 6,070.38

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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.