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Finding the Fourth Proportional to 7,478.98, 11,218.95 and 4,394.50

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Solution

The fourth proportional to 7,478.98, 11,218.95 and 4,394.50 is: 6,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.98 : 11,218.95 = 4,394.50 : x
  2. Step 2: Convert to fraction form
    7,478.98/11,218.95 = 4,394.50/x
  3. Step 3: Cross multiply
    7,478.98x = 11,218.95 × 4,394.50
  4. Step 4: Simplify right side
    7,478.98x = 49,301,675.78
  5. Step 5: Solve for x
    x = 49,301,675.78/7,478.98
  6. Step 6: Final answer
    x = 6,592.03

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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.