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Finding the Fourth Proportional to 11,348.77, 15,658.76 and 6,872.43

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Solution

The fourth proportional to 11,348.77, 15,658.76 and 6,872.43 is: 9,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.77 : 15,658.76 = 6,872.43 : x
  2. Step 2: Convert to fraction form
    11,348.77/15,658.76 = 6,872.43/x
  3. Step 3: Cross multiply
    11,348.77x = 15,658.76 × 6,872.43
  4. Step 4: Simplify right side
    11,348.77x = 107,613,731.99
  5. Step 5: Solve for x
    x = 107,613,731.99/11,348.77
  6. Step 6: Final answer
    x = 9,482.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.