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Finding the Fourth Proportional to 7,477.34, 11,194.25 and 4,347.78

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Solution

The fourth proportional to 7,477.34, 11,194.25 and 4,347.78 is: 6,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.34 : 11,194.25 = 4,347.78 : x
  2. Step 2: Convert to fraction form
    7,477.34/11,194.25 = 4,347.78/x
  3. Step 3: Cross multiply
    7,477.34x = 11,194.25 × 4,347.78
  4. Step 4: Simplify right side
    7,477.34x = 48,670,114.53
  5. Step 5: Solve for x
    x = 48,670,114.53/7,477.34
  6. Step 6: Final answer
    x = 6,509.02

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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.