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Finding the Fourth Proportional to 10,306.93, 14,222.70 and 5,829.65

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Solution

The fourth proportional to 10,306.93, 14,222.70 and 5,829.65 is: 8,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.93 : 14,222.70 = 5,829.65 : x
  2. Step 2: Convert to fraction form
    10,306.93/14,222.70 = 5,829.65/x
  3. Step 3: Cross multiply
    10,306.93x = 14,222.70 × 5,829.65
  4. Step 4: Simplify right side
    10,306.93x = 82,913,363.06
  5. Step 5: Solve for x
    x = 82,913,363.06/10,306.93
  6. Step 6: Final answer
    x = 8,044.43

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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.