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Finding the Fourth Proportional to 10,606.71, 15,899.13 and 4,764.99

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Solution

The fourth proportional to 10,606.71, 15,899.13 and 4,764.99 is: 7,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.71 : 15,899.13 = 4,764.99 : x
  2. Step 2: Convert to fraction form
    10,606.71/15,899.13 = 4,764.99/x
  3. Step 3: Cross multiply
    10,606.71x = 15,899.13 × 4,764.99
  4. Step 4: Simplify right side
    10,606.71x = 75,759,195.46
  5. Step 5: Solve for x
    x = 75,759,195.46/10,606.71
  6. Step 6: Final answer
    x = 7,142.57

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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.