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Finding the Fourth Proportional to 7,641.18, 11,465.01 and 4,174.38

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Solution

The fourth proportional to 7,641.18, 11,465.01 and 4,174.38 is: 6,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.18 : 11,465.01 = 4,174.38 : x
  2. Step 2: Convert to fraction form
    7,641.18/11,465.01 = 4,174.38/x
  3. Step 3: Cross multiply
    7,641.18x = 11,465.01 × 4,174.38
  4. Step 4: Simplify right side
    7,641.18x = 47,859,308.44
  5. Step 5: Solve for x
    x = 47,859,308.44/7,641.18
  6. Step 6: Final answer
    x = 6,263.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.