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Finding the Fourth Proportional to 7,295.46, 10,061.79 and 4,638.30

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Solution

The fourth proportional to 7,295.46, 10,061.79 and 4,638.30 is: 6,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.46 : 10,061.79 = 4,638.30 : x
  2. Step 2: Convert to fraction form
    7,295.46/10,061.79 = 4,638.30/x
  3. Step 3: Cross multiply
    7,295.46x = 10,061.79 × 4,638.30
  4. Step 4: Simplify right side
    7,295.46x = 46,669,600.56
  5. Step 5: Solve for x
    x = 46,669,600.56/7,295.46
  6. Step 6: Final answer
    x = 6,397.07

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