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Finding the Fourth Proportional to 7,792.20, 11,681.72 and 3,406.32

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Solution

The fourth proportional to 7,792.20, 11,681.72 and 3,406.32 is: 5,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.20 : 11,681.72 = 3,406.32 : x
  2. Step 2: Convert to fraction form
    7,792.20/11,681.72 = 3,406.32/x
  3. Step 3: Cross multiply
    7,792.20x = 11,681.72 × 3,406.32
  4. Step 4: Simplify right side
    7,792.20x = 39,791,676.47
  5. Step 5: Solve for x
    x = 39,791,676.47/7,792.20
  6. Step 6: Final answer
    x = 5,106.60

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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.