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Finding the Fourth Proportional to 7,909.29, 11,853 and 6,733.17

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Solution

The fourth proportional to 7,909.29, 11,853 and 6,733.17 is: 10,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.29 : 11,853 = 6,733.17 : x
  2. Step 2: Convert to fraction form
    7,909.29/11,853 = 6,733.17/x
  3. Step 3: Cross multiply
    7,909.29x = 11,853 × 6,733.17
  4. Step 4: Simplify right side
    7,909.29x = 79,808,264.01
  5. Step 5: Solve for x
    x = 79,808,264.01/7,909.29
  6. Step 6: Final answer
    x = 10,090.45

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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.