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Finding the Fourth Proportional to 10,505.18, 14,498.06 and 5,790.38

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Solution

The fourth proportional to 10,505.18, 14,498.06 and 5,790.38 is: 7,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.18 : 14,498.06 = 5,790.38 : x
  2. Step 2: Convert to fraction form
    10,505.18/14,498.06 = 5,790.38/x
  3. Step 3: Cross multiply
    10,505.18x = 14,498.06 × 5,790.38
  4. Step 4: Simplify right side
    10,505.18x = 83,949,175.22
  5. Step 5: Solve for x
    x = 83,949,175.22/10,505.18
  6. Step 6: Final answer
    x = 7,991.22

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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.