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Finding the Fourth Proportional to 7,904.38, 10,907.70 and 4,367.52

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Solution

The fourth proportional to 7,904.38, 10,907.70 and 4,367.52 is: 6,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.38 : 10,907.70 = 4,367.52 : x
  2. Step 2: Convert to fraction form
    7,904.38/10,907.70 = 4,367.52/x
  3. Step 3: Cross multiply
    7,904.38x = 10,907.70 × 4,367.52
  4. Step 4: Simplify right side
    7,904.38x = 47,639,521.53
  5. Step 5: Solve for x
    x = 47,639,521.53/7,904.38
  6. Step 6: Final answer
    x = 6,026.98

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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.