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Finding the Fourth Proportional to 10,995.66, 16,489.40 and 4,756.57

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Solution

The fourth proportional to 10,995.66, 16,489.40 and 4,756.57 is: 7,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.66 : 16,489.40 = 4,756.57 : x
  2. Step 2: Convert to fraction form
    10,995.66/16,489.40 = 4,756.57/x
  3. Step 3: Cross multiply
    10,995.66x = 16,489.40 × 4,756.57
  4. Step 4: Simplify right side
    10,995.66x = 78,432,985.36
  5. Step 5: Solve for x
    x = 78,432,985.36/10,995.66
  6. Step 6: Final answer
    x = 7,133.09

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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.