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Finding the Fourth Proportional to 7,460.29, 11,192.87 and 3,565

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Solution

The fourth proportional to 7,460.29, 11,192.87 and 3,565 is: 5,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.29 : 11,192.87 = 3,565 : x
  2. Step 2: Convert to fraction form
    7,460.29/11,192.87 = 3,565/x
  3. Step 3: Cross multiply
    7,460.29x = 11,192.87 × 3,565
  4. Step 4: Simplify right side
    7,460.29x = 39,902,581.55
  5. Step 5: Solve for x
    x = 39,902,581.55/7,460.29
  6. Step 6: Final answer
    x = 5,348.66

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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.