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Finding the Fourth Proportional to 12,952.08, 17,871.84 and 7,362

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Solution

The fourth proportional to 12,952.08, 17,871.84 and 7,362 is: 10,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.08 : 17,871.84 = 7,362 : x
  2. Step 2: Convert to fraction form
    12,952.08/17,871.84 = 7,362/x
  3. Step 3: Cross multiply
    12,952.08x = 17,871.84 × 7,362
  4. Step 4: Simplify right side
    12,952.08x = 131,572,486.08
  5. Step 5: Solve for x
    x = 131,572,486.08/12,952.08
  6. Step 6: Final answer
    x = 10,158.41

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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.