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Finding the Fourth Proportional to 7,412.31, 11,065.62 and 7,152.75

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Solution

The fourth proportional to 7,412.31, 11,065.62 and 7,152.75 is: 10,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.31 : 11,065.62 = 7,152.75 : x
  2. Step 2: Convert to fraction form
    7,412.31/11,065.62 = 7,152.75/x
  3. Step 3: Cross multiply
    7,412.31x = 11,065.62 × 7,152.75
  4. Step 4: Simplify right side
    7,412.31x = 79,149,613.46
  5. Step 5: Solve for x
    x = 79,149,613.46/7,412.31
  6. Step 6: Final answer
    x = 10,678.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.