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Finding the Fourth Proportional to 7,509.75, 11,252.70 and 5,035.47

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Solution

The fourth proportional to 7,509.75, 11,252.70 and 5,035.47 is: 7,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.75 : 11,252.70 = 5,035.47 : x
  2. Step 2: Convert to fraction form
    7,509.75/11,252.70 = 5,035.47/x
  3. Step 3: Cross multiply
    7,509.75x = 11,252.70 × 5,035.47
  4. Step 4: Simplify right side
    7,509.75x = 56,662,633.27
  5. Step 5: Solve for x
    x = 56,662,633.27/7,509.75
  6. Step 6: Final answer
    x = 7,545.21

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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.