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Finding the Fourth Proportional to 11,506.82, 15,874.45 and 7,254.52

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Solution

The fourth proportional to 11,506.82, 15,874.45 and 7,254.52 is: 10,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.82 : 15,874.45 = 7,254.52 : x
  2. Step 2: Convert to fraction form
    11,506.82/15,874.45 = 7,254.52/x
  3. Step 3: Cross multiply
    11,506.82x = 15,874.45 × 7,254.52
  4. Step 4: Simplify right side
    11,506.82x = 115,161,457.19
  5. Step 5: Solve for x
    x = 115,161,457.19/11,506.82
  6. Step 6: Final answer
    x = 10,008.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.