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Finding the Fourth Proportional to 11,306.43, 15,602.54 and 6,828.57

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Solution

The fourth proportional to 11,306.43, 15,602.54 and 6,828.57 is: 9,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.43 : 15,602.54 = 6,828.57 : x
  2. Step 2: Convert to fraction form
    11,306.43/15,602.54 = 6,828.57/x
  3. Step 3: Cross multiply
    11,306.43x = 15,602.54 × 6,828.57
  4. Step 4: Simplify right side
    11,306.43x = 106,543,002.42
  5. Step 5: Solve for x
    x = 106,543,002.42/11,306.43
  6. Step 6: Final answer
    x = 9,423.22

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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.