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Finding the Fourth Proportional to 7,284.34, 10,046.19 and 6,155.53

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Solution

The fourth proportional to 7,284.34, 10,046.19 and 6,155.53 is: 8,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.34 : 10,046.19 = 6,155.53 : x
  2. Step 2: Convert to fraction form
    7,284.34/10,046.19 = 6,155.53/x
  3. Step 3: Cross multiply
    7,284.34x = 10,046.19 × 6,155.53
  4. Step 4: Simplify right side
    7,284.34x = 61,839,623.93
  5. Step 5: Solve for x
    x = 61,839,623.93/7,284.34
  6. Step 6: Final answer
    x = 8,489.39

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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.