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Finding the Fourth Proportional to 7,743.95, 10,683.21 and 4,598.31

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Solution

The fourth proportional to 7,743.95, 10,683.21 and 4,598.31 is: 6,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.95 : 10,683.21 = 4,598.31 : x
  2. Step 2: Convert to fraction form
    7,743.95/10,683.21 = 4,598.31/x
  3. Step 3: Cross multiply
    7,743.95x = 10,683.21 × 4,598.31
  4. Step 4: Simplify right side
    7,743.95x = 49,124,711.38
  5. Step 5: Solve for x
    x = 49,124,711.38/7,743.95
  6. Step 6: Final answer
    x = 6,343.62

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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.