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Finding the Fourth Proportional to 7,384.47, 11,033.51 and 7,126.17

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Solution

The fourth proportional to 7,384.47, 11,033.51 and 7,126.17 is: 10,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.47 : 11,033.51 = 7,126.17 : x
  2. Step 2: Convert to fraction form
    7,384.47/11,033.51 = 7,126.17/x
  3. Step 3: Cross multiply
    7,384.47x = 11,033.51 × 7,126.17
  4. Step 4: Simplify right side
    7,384.47x = 78,626,667.96
  5. Step 5: Solve for x
    x = 78,626,667.96/7,384.47
  6. Step 6: Final answer
    x = 10,647.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.