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Finding the Fourth Proportional to 7,566.34, 11,349.14 and 2,301.12

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Solution

The fourth proportional to 7,566.34, 11,349.14 and 2,301.12 is: 3,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.34 : 11,349.14 = 2,301.12 : x
  2. Step 2: Convert to fraction form
    7,566.34/11,349.14 = 2,301.12/x
  3. Step 3: Cross multiply
    7,566.34x = 11,349.14 × 2,301.12
  4. Step 4: Simplify right side
    7,566.34x = 26,115,733.04
  5. Step 5: Solve for x
    x = 26,115,733.04/7,566.34
  6. Step 6: Final answer
    x = 3,451.57

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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.