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Finding the Fourth Proportional to 10,574.46, 14,589.44 and 6,097.61

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Solution

The fourth proportional to 10,574.46, 14,589.44 and 6,097.61 is: 8,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.46 : 14,589.44 = 6,097.61 : x
  2. Step 2: Convert to fraction form
    10,574.46/14,589.44 = 6,097.61/x
  3. Step 3: Cross multiply
    10,574.46x = 14,589.44 × 6,097.61
  4. Step 4: Simplify right side
    10,574.46x = 88,960,715.24
  5. Step 5: Solve for x
    x = 88,960,715.24/10,574.46
  6. Step 6: Final answer
    x = 8,412.79

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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.