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Finding the Fourth Proportional to 10,663.32, 15,994.62 and 2,871.84

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Solution

The fourth proportional to 10,663.32, 15,994.62 and 2,871.84 is: 4,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.32 : 15,994.62 = 2,871.84 : x
  2. Step 2: Convert to fraction form
    10,663.32/15,994.62 = 2,871.84/x
  3. Step 3: Cross multiply
    10,663.32x = 15,994.62 × 2,871.84
  4. Step 4: Simplify right side
    10,663.32x = 45,933,989.50
  5. Step 5: Solve for x
    x = 45,933,989.50/10,663.32
  6. Step 6: Final answer
    x = 4,307.66

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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.