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Finding the Fourth Proportional to 10,499.54, 14,488.61 and 6,023.17

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Solution

The fourth proportional to 10,499.54, 14,488.61 and 6,023.17 is: 8,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.54 : 14,488.61 = 6,023.17 : x
  2. Step 2: Convert to fraction form
    10,499.54/14,488.61 = 6,023.17/x
  3. Step 3: Cross multiply
    10,499.54x = 14,488.61 × 6,023.17
  4. Step 4: Simplify right side
    10,499.54x = 87,267,349.09
  5. Step 5: Solve for x
    x = 87,267,349.09/10,499.54
  6. Step 6: Final answer
    x = 8,311.54

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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.