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Finding the Fourth Proportional to 7,792.34, 11,690.06 and 2,862.02

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Solution

The fourth proportional to 7,792.34, 11,690.06 and 2,862.02 is: 4,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.34 : 11,690.06 = 2,862.02 : x
  2. Step 2: Convert to fraction form
    7,792.34/11,690.06 = 2,862.02/x
  3. Step 3: Cross multiply
    7,792.34x = 11,690.06 × 2,862.02
  4. Step 4: Simplify right side
    7,792.34x = 33,457,200.44
  5. Step 5: Solve for x
    x = 33,457,200.44/7,792.34
  6. Step 6: Final answer
    x = 4,293.60

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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.