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Finding the Fourth Proportional to 7,308, 10,087.60 and 4,364

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Solution

The fourth proportional to 7,308, 10,087.60 and 4,364 is: 6,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308 : 10,087.60 = 4,364 : x
  2. Step 2: Convert to fraction form
    7,308/10,087.60 = 4,364/x
  3. Step 3: Cross multiply
    7,308x = 10,087.60 × 4,364
  4. Step 4: Simplify right side
    7,308x = 44,022,286.40
  5. Step 5: Solve for x
    x = 44,022,286.40/7,308
  6. Step 6: Final answer
    x = 6,023.85

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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.