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Finding the Fourth Proportional to 7,478.50, 10,320.33 and 4,336.51

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Solution

The fourth proportional to 7,478.50, 10,320.33 and 4,336.51 is: 5,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.50 : 10,320.33 = 4,336.51 : x
  2. Step 2: Convert to fraction form
    7,478.50/10,320.33 = 4,336.51/x
  3. Step 3: Cross multiply
    7,478.50x = 10,320.33 × 4,336.51
  4. Step 4: Simplify right side
    7,478.50x = 44,754,214.25
  5. Step 5: Solve for x
    x = 44,754,214.25/7,478.50
  6. Step 6: Final answer
    x = 5,984.38

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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.