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Finding the Fourth Proportional to 11,740.16, 17,575.68 and 7,109.12

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Solution

The fourth proportional to 11,740.16, 17,575.68 and 7,109.12 is: 10,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.16 : 17,575.68 = 7,109.12 : x
  2. Step 2: Convert to fraction form
    11,740.16/17,575.68 = 7,109.12/x
  3. Step 3: Cross multiply
    11,740.16x = 17,575.68 × 7,109.12
  4. Step 4: Simplify right side
    11,740.16x = 124,947,618.20
  5. Step 5: Solve for x
    x = 124,947,618.20/11,740.16
  6. Step 6: Final answer
    x = 10,642.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.