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Finding the Fourth Proportional to 8,089.12, 11,164.80 and 4,948.48

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Solution

The fourth proportional to 8,089.12, 11,164.80 and 4,948.48 is: 6,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.12 : 11,164.80 = 4,948.48 : x
  2. Step 2: Convert to fraction form
    8,089.12/11,164.80 = 4,948.48/x
  3. Step 3: Cross multiply
    8,089.12x = 11,164.80 × 4,948.48
  4. Step 4: Simplify right side
    8,089.12x = 55,248,789.50
  5. Step 5: Solve for x
    x = 55,248,789.50/8,089.12
  6. Step 6: Final answer
    x = 6,830.01

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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.