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Finding the Fourth Proportional to 11,494.34, 15,862.98 and 7,723.82

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Solution

The fourth proportional to 11,494.34, 15,862.98 and 7,723.82 is: 10,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.34 : 15,862.98 = 7,723.82 : x
  2. Step 2: Convert to fraction form
    11,494.34/15,862.98 = 7,723.82/x
  3. Step 3: Cross multiply
    11,494.34x = 15,862.98 × 7,723.82
  4. Step 4: Simplify right side
    11,494.34x = 122,522,802.18
  5. Step 5: Solve for x
    x = 122,522,802.18/11,494.34
  6. Step 6: Final answer
    x = 10,659.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.