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Finding the Fourth Proportional to 10,643.43, 15,937.23 and 7,506.43

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Solution

The fourth proportional to 10,643.43, 15,937.23 and 7,506.43 is: 11,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.43 : 15,937.23 = 7,506.43 : x
  2. Step 2: Convert to fraction form
    10,643.43/15,937.23 = 7,506.43/x
  3. Step 3: Cross multiply
    10,643.43x = 15,937.23 × 7,506.43
  4. Step 4: Simplify right side
    10,643.43x = 119,631,701.39
  5. Step 5: Solve for x
    x = 119,631,701.39/10,643.43
  6. Step 6: Final answer
    x = 11,239.96

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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.