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Finding the Fourth Proportional to 7,323.50, 10,963.71 and 4,541.24

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Solution

The fourth proportional to 7,323.50, 10,963.71 and 4,541.24 is: 6,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.50 : 10,963.71 = 4,541.24 : x
  2. Step 2: Convert to fraction form
    7,323.50/10,963.71 = 4,541.24/x
  3. Step 3: Cross multiply
    7,323.50x = 10,963.71 × 4,541.24
  4. Step 4: Simplify right side
    7,323.50x = 49,788,838.40
  5. Step 5: Solve for x
    x = 49,788,838.40/7,323.50
  6. Step 6: Final answer
    x = 6,798.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.