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Finding the Fourth Proportional to 7,511.52, 10,365.51 and 4,154.16

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Solution

The fourth proportional to 7,511.52, 10,365.51 and 4,154.16 is: 5,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.52 : 10,365.51 = 4,154.16 : x
  2. Step 2: Convert to fraction form
    7,511.52/10,365.51 = 4,154.16/x
  3. Step 3: Cross multiply
    7,511.52x = 10,365.51 × 4,154.16
  4. Step 4: Simplify right side
    7,511.52x = 43,059,987.02
  5. Step 5: Solve for x
    x = 43,059,987.02/7,511.52
  6. Step 6: Final answer
    x = 5,732.53

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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.