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Finding the Fourth Proportional to 7,097.15, 10,595.81 and 5,422.49

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Solution

The fourth proportional to 7,097.15, 10,595.81 and 5,422.49 is: 8,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.15 : 10,595.81 = 5,422.49 : x
  2. Step 2: Convert to fraction form
    7,097.15/10,595.81 = 5,422.49/x
  3. Step 3: Cross multiply
    7,097.15x = 10,595.81 × 5,422.49
  4. Step 4: Simplify right side
    7,097.15x = 57,455,673.14
  5. Step 5: Solve for x
    x = 57,455,673.14/7,097.15
  6. Step 6: Final answer
    x = 8,095.60

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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.