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Finding the Fourth Proportional to 10,994.31, 16,488 and 3,597.57

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Solution

The fourth proportional to 10,994.31, 16,488 and 3,597.57 is: 5,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.31 : 16,488 = 3,597.57 : x
  2. Step 2: Convert to fraction form
    10,994.31/16,488 = 3,597.57/x
  3. Step 3: Cross multiply
    10,994.31x = 16,488 × 3,597.57
  4. Step 4: Simplify right side
    10,994.31x = 59,316,734.16
  5. Step 5: Solve for x
    x = 59,316,734.16/10,994.31
  6. Step 6: Final answer
    x = 5,395.22

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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.