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Finding the Fourth Proportional to 7,184.16, 9,911 and 4,388

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Solution

The fourth proportional to 7,184.16, 9,911 and 4,388 is: 6,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.16 : 9,911 = 4,388 : x
  2. Step 2: Convert to fraction form
    7,184.16/9,911 = 4,388/x
  3. Step 3: Cross multiply
    7,184.16x = 9,911 × 4,388
  4. Step 4: Simplify right side
    7,184.16x = 43,489,468
  5. Step 5: Solve for x
    x = 43,489,468/7,184.16
  6. Step 6: Final answer
    x = 6,053.52

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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.