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Finding the Fourth Proportional to 10,589.04, 14,612.99 and 6,111.92

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Solution

The fourth proportional to 10,589.04, 14,612.99 and 6,111.92 is: 8,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.04 : 14,612.99 = 6,111.92 : x
  2. Step 2: Convert to fraction form
    10,589.04/14,612.99 = 6,111.92/x
  3. Step 3: Cross multiply
    10,589.04x = 14,612.99 × 6,111.92
  4. Step 4: Simplify right side
    10,589.04x = 89,313,431.81
  5. Step 5: Solve for x
    x = 89,313,431.81/10,589.04
  6. Step 6: Final answer
    x = 8,434.52

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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.