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Finding the Fourth Proportional to 7,509.83, 10,363.45 and 4,152.56

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Solution

The fourth proportional to 7,509.83, 10,363.45 and 4,152.56 is: 5,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.83 : 10,363.45 = 4,152.56 : x
  2. Step 2: Convert to fraction form
    7,509.83/10,363.45 = 4,152.56/x
  3. Step 3: Cross multiply
    7,509.83x = 10,363.45 × 4,152.56
  4. Step 4: Simplify right side
    7,509.83x = 43,034,890.68
  5. Step 5: Solve for x
    x = 43,034,890.68/7,509.83
  6. Step 6: Final answer
    x = 5,730.48

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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.