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Finding the Fourth Proportional to 7,521, 10,378.98 and 4,209

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Solution

The fourth proportional to 7,521, 10,378.98 and 4,209 is: 5,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521 : 10,378.98 = 4,209 : x
  2. Step 2: Convert to fraction form
    7,521/10,378.98 = 4,209/x
  3. Step 3: Cross multiply
    7,521x = 10,378.98 × 4,209
  4. Step 4: Simplify right side
    7,521x = 43,685,126.82
  5. Step 5: Solve for x
    x = 43,685,126.82/7,521
  6. Step 6: Final answer
    x = 5,808.42

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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.