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Finding the Fourth Proportional to 7,952.65, 11,937.26 and 5,875

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Solution

The fourth proportional to 7,952.65, 11,937.26 and 5,875 is: 8,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.65 : 11,937.26 = 5,875 : x
  2. Step 2: Convert to fraction form
    7,952.65/11,937.26 = 5,875/x
  3. Step 3: Cross multiply
    7,952.65x = 11,937.26 × 5,875
  4. Step 4: Simplify right side
    7,952.65x = 70,131,402.50
  5. Step 5: Solve for x
    x = 70,131,402.50/7,952.65
  6. Step 6: Final answer
    x = 8,818.62

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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.