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Finding the Fourth Proportional to 7,146.30, 10,696.11 and 6,464.28

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Solution

The fourth proportional to 7,146.30, 10,696.11 and 6,464.28 is: 9,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.30 : 10,696.11 = 6,464.28 : x
  2. Step 2: Convert to fraction form
    7,146.30/10,696.11 = 6,464.28/x
  3. Step 3: Cross multiply
    7,146.30x = 10,696.11 × 6,464.28
  4. Step 4: Simplify right side
    7,146.30x = 69,142,649.95
  5. Step 5: Solve for x
    x = 69,142,649.95/7,146.30
  6. Step 6: Final answer
    x = 9,675.31

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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.