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Finding the Fourth Proportional to 7,295.84, 10,068 and 5,200.64

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Solution

The fourth proportional to 7,295.84, 10,068 and 5,200.64 is: 7,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.84 : 10,068 = 5,200.64 : x
  2. Step 2: Convert to fraction form
    7,295.84/10,068 = 5,200.64/x
  3. Step 3: Cross multiply
    7,295.84x = 10,068 × 5,200.64
  4. Step 4: Simplify right side
    7,295.84x = 52,360,043.52
  5. Step 5: Solve for x
    x = 52,360,043.52/7,295.84
  6. Step 6: Final answer
    x = 7,176.70

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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.