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Finding the Fourth Proportional to 10,597.65, 14,626.62 and 6,120.78

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Solution

The fourth proportional to 10,597.65, 14,626.62 and 6,120.78 is: 8,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.65 : 14,626.62 = 6,120.78 : x
  2. Step 2: Convert to fraction form
    10,597.65/14,626.62 = 6,120.78/x
  3. Step 3: Cross multiply
    10,597.65x = 14,626.62 × 6,120.78
  4. Step 4: Simplify right side
    10,597.65x = 89,526,323.16
  5. Step 5: Solve for x
    x = 89,526,323.16/10,597.65
  6. Step 6: Final answer
    x = 8,447.75

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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.