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Finding the Fourth Proportional to 8,192.96, 11,307.06 and 4,836.80

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Solution

The fourth proportional to 8,192.96, 11,307.06 and 4,836.80 is: 6,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.96 : 11,307.06 = 4,836.80 : x
  2. Step 2: Convert to fraction form
    8,192.96/11,307.06 = 4,836.80/x
  3. Step 3: Cross multiply
    8,192.96x = 11,307.06 × 4,836.80
  4. Step 4: Simplify right side
    8,192.96x = 54,689,987.81
  5. Step 5: Solve for x
    x = 54,689,987.81/8,192.96
  6. Step 6: Final answer
    x = 6,675.24

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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.