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Finding the Fourth Proportional to 11,823.30, 17,690.40 and 7,061.82

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Solution

The fourth proportional to 11,823.30, 17,690.40 and 7,061.82 is: 10,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.30 : 17,690.40 = 7,061.82 : x
  2. Step 2: Convert to fraction form
    11,823.30/17,690.40 = 7,061.82/x
  3. Step 3: Cross multiply
    11,823.30x = 17,690.40 × 7,061.82
  4. Step 4: Simplify right side
    11,823.30x = 124,926,420.53
  5. Step 5: Solve for x
    x = 124,926,420.53/11,823.30
  6. Step 6: Final answer
    x = 10,566.12

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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.