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Finding the Fourth Proportional to 7,098.15, 10,597.30 and 5,423.49

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Solution

The fourth proportional to 7,098.15, 10,597.30 and 5,423.49 is: 8,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.15 : 10,597.30 = 5,423.49 : x
  2. Step 2: Convert to fraction form
    7,098.15/10,597.30 = 5,423.49/x
  3. Step 3: Cross multiply
    7,098.15x = 10,597.30 × 5,423.49
  4. Step 4: Simplify right side
    7,098.15x = 57,474,350.58
  5. Step 5: Solve for x
    x = 57,474,350.58/7,098.15
  6. Step 6: Final answer
    x = 8,097.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.