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Finding the Fourth Proportional to 7,093.19, 10,639.77 and 4,282.58

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Solution

The fourth proportional to 7,093.19, 10,639.77 and 4,282.58 is: 6,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.19 : 10,639.77 = 4,282.58 : x
  2. Step 2: Convert to fraction form
    7,093.19/10,639.77 = 4,282.58/x
  3. Step 3: Cross multiply
    7,093.19x = 10,639.77 × 4,282.58
  4. Step 4: Simplify right side
    7,093.19x = 45,565,655.50
  5. Step 5: Solve for x
    x = 45,565,655.50/7,093.19
  6. Step 6: Final answer
    x = 6,423.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.