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Finding the Fourth Proportional to 7,890.90, 10,890.63 and 4,747.74

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Solution

The fourth proportional to 7,890.90, 10,890.63 and 4,747.74 is: 6,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.90 : 10,890.63 = 4,747.74 : x
  2. Step 2: Convert to fraction form
    7,890.90/10,890.63 = 4,747.74/x
  3. Step 3: Cross multiply
    7,890.90x = 10,890.63 × 4,747.74
  4. Step 4: Simplify right side
    7,890.90x = 51,705,879.68
  5. Step 5: Solve for x
    x = 51,705,879.68/7,890.90
  6. Step 6: Final answer
    x = 6,552.60

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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.