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Finding the Fourth Proportional to 7,564.98, 11,347.40 and 2,947.98

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Solution

The fourth proportional to 7,564.98, 11,347.40 and 2,947.98 is: 4,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.98 : 11,347.40 = 2,947.98 : x
  2. Step 2: Convert to fraction form
    7,564.98/11,347.40 = 2,947.98/x
  3. Step 3: Cross multiply
    7,564.98x = 11,347.40 × 2,947.98
  4. Step 4: Simplify right side
    7,564.98x = 33,451,908.25
  5. Step 5: Solve for x
    x = 33,451,908.25/7,564.98
  6. Step 6: Final answer
    x = 4,421.94

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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.