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Finding the Fourth Proportional to 7,756.65, 11,641.70 and 4,061.48

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Solution

The fourth proportional to 7,756.65, 11,641.70 and 4,061.48 is: 6,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.65 : 11,641.70 = 4,061.48 : x
  2. Step 2: Convert to fraction form
    7,756.65/11,641.70 = 4,061.48/x
  3. Step 3: Cross multiply
    7,756.65x = 11,641.70 × 4,061.48
  4. Step 4: Simplify right side
    7,756.65x = 47,282,453.20
  5. Step 5: Solve for x
    x = 47,282,453.20/7,756.65
  6. Step 6: Final answer
    x = 6,095.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.