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Finding the Fourth Proportional to 10,298.85, 14,211.45 and 5,822.58

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Solution

The fourth proportional to 10,298.85, 14,211.45 and 5,822.58 is: 8,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.85 : 14,211.45 = 5,822.58 : x
  2. Step 2: Convert to fraction form
    10,298.85/14,211.45 = 5,822.58/x
  3. Step 3: Cross multiply
    10,298.85x = 14,211.45 × 5,822.58
  4. Step 4: Simplify right side
    10,298.85x = 82,747,357.83
  5. Step 5: Solve for x
    x = 82,747,357.83/10,298.85
  6. Step 6: Final answer
    x = 8,034.62

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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.