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Finding the Fourth Proportional to 7,509.96, 10,363.32 and 4,152.57

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Solution

The fourth proportional to 7,509.96, 10,363.32 and 4,152.57 is: 5,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.96 : 10,363.32 = 4,152.57 : x
  2. Step 2: Convert to fraction form
    7,509.96/10,363.32 = 4,152.57/x
  3. Step 3: Cross multiply
    7,509.96x = 10,363.32 × 4,152.57
  4. Step 4: Simplify right side
    7,509.96x = 43,034,427.30
  5. Step 5: Solve for x
    x = 43,034,427.30/7,509.96
  6. Step 6: Final answer
    x = 5,730.32

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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.