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Finding the Fourth Proportional to 7,193.10, 9,926.62 and 4,360.38

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Solution

The fourth proportional to 7,193.10, 9,926.62 and 4,360.38 is: 6,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.10 : 9,926.62 = 4,360.38 : x
  2. Step 2: Convert to fraction form
    7,193.10/9,926.62 = 4,360.38/x
  3. Step 3: Cross multiply
    7,193.10x = 9,926.62 × 4,360.38
  4. Step 4: Simplify right side
    7,193.10x = 43,283,835.32
  5. Step 5: Solve for x
    x = 43,283,835.32/7,193.10
  6. Step 6: Final answer
    x = 6,017.41

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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.