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Finding the Fourth Proportional to 7,364.83, 10,162.71 and 4,532.38

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Solution

The fourth proportional to 7,364.83, 10,162.71 and 4,532.38 is: 6,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.83 : 10,162.71 = 4,532.38 : x
  2. Step 2: Convert to fraction form
    7,364.83/10,162.71 = 4,532.38/x
  3. Step 3: Cross multiply
    7,364.83x = 10,162.71 × 4,532.38
  4. Step 4: Simplify right side
    7,364.83x = 46,061,263.55
  5. Step 5: Solve for x
    x = 46,061,263.55/7,364.83
  6. Step 6: Final answer
    x = 6,254.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.