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Finding the Fourth Proportional to 7,478.58, 10,320 and 4,334.70

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Solution

The fourth proportional to 7,478.58, 10,320 and 4,334.70 is: 5,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.58 : 10,320 = 4,334.70 : x
  2. Step 2: Convert to fraction form
    7,478.58/10,320 = 4,334.70/x
  3. Step 3: Cross multiply
    7,478.58x = 10,320 × 4,334.70
  4. Step 4: Simplify right side
    7,478.58x = 44,734,104
  5. Step 5: Solve for x
    x = 44,734,104/7,478.58
  6. Step 6: Final answer
    x = 5,981.63

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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.