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Finding the Fourth Proportional to 10,499.85, 14,491.19 and 6,024.06

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Solution

The fourth proportional to 10,499.85, 14,491.19 and 6,024.06 is: 8,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.85 : 14,491.19 = 6,024.06 : x
  2. Step 2: Convert to fraction form
    10,499.85/14,491.19 = 6,024.06/x
  3. Step 3: Cross multiply
    10,499.85x = 14,491.19 × 6,024.06
  4. Step 4: Simplify right side
    10,499.85x = 87,295,767.91
  5. Step 5: Solve for x
    x = 87,295,767.91/10,499.85
  6. Step 6: Final answer
    x = 8,314.00

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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.