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Finding the Fourth Proportional to 7,536.78, 11,301.52 and 2,270.81

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Solution

The fourth proportional to 7,536.78, 11,301.52 and 2,270.81 is: 3,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.78 : 11,301.52 = 2,270.81 : x
  2. Step 2: Convert to fraction form
    7,536.78/11,301.52 = 2,270.81/x
  3. Step 3: Cross multiply
    7,536.78x = 11,301.52 × 2,270.81
  4. Step 4: Simplify right side
    7,536.78x = 25,663,569.51
  5. Step 5: Solve for x
    x = 25,663,569.51/7,536.78
  6. Step 6: Final answer
    x = 3,405.11

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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.