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Finding the Fourth Proportional to 11,754.48, 17,609.16 and 7,298.94

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Solution

The fourth proportional to 11,754.48, 17,609.16 and 7,298.94 is: 10,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.48 : 17,609.16 = 7,298.94 : x
  2. Step 2: Convert to fraction form
    11,754.48/17,609.16 = 7,298.94/x
  3. Step 3: Cross multiply
    11,754.48x = 17,609.16 × 7,298.94
  4. Step 4: Simplify right side
    11,754.48x = 128,528,202.29
  5. Step 5: Solve for x
    x = 128,528,202.29/11,754.48
  6. Step 6: Final answer
    x = 10,934.40

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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.