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Finding the Fourth Proportional to 11,747.19, 17,597.31 and 7,064.63

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Solution

The fourth proportional to 11,747.19, 17,597.31 and 7,064.63 is: 10,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.19 : 17,597.31 = 7,064.63 : x
  2. Step 2: Convert to fraction form
    11,747.19/17,597.31 = 7,064.63/x
  3. Step 3: Cross multiply
    11,747.19x = 17,597.31 × 7,064.63
  4. Step 4: Simplify right side
    11,747.19x = 124,318,435.66
  5. Step 5: Solve for x
    x = 124,318,435.66/11,747.19
  6. Step 6: Final answer
    x = 10,582.82

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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.