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Finding the Fourth Proportional to 10,152.68, 14,015.01 and 6,175.07

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Solution

The fourth proportional to 10,152.68, 14,015.01 and 6,175.07 is: 8,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.68 : 14,015.01 = 6,175.07 : x
  2. Step 2: Convert to fraction form
    10,152.68/14,015.01 = 6,175.07/x
  3. Step 3: Cross multiply
    10,152.68x = 14,015.01 × 6,175.07
  4. Step 4: Simplify right side
    10,152.68x = 86,543,597.73
  5. Step 5: Solve for x
    x = 86,543,597.73/10,152.68
  6. Step 6: Final answer
    x = 8,524.22

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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.