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Finding the Fourth Proportional to 7,509.52, 11,266.24 and 2,829.58

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Solution

The fourth proportional to 7,509.52, 11,266.24 and 2,829.58 is: 4,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.52 : 11,266.24 = 2,829.58 : x
  2. Step 2: Convert to fraction form
    7,509.52/11,266.24 = 2,829.58/x
  3. Step 3: Cross multiply
    7,509.52x = 11,266.24 × 2,829.58
  4. Step 4: Simplify right side
    7,509.52x = 31,878,727.38
  5. Step 5: Solve for x
    x = 31,878,727.38/7,509.52
  6. Step 6: Final answer
    x = 4,245.11

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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.