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Finding the Fourth Proportional to 8,051.35, 11,105.24 and 7,780.40

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Solution

The fourth proportional to 8,051.35, 11,105.24 and 7,780.40 is: 10,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.35 : 11,105.24 = 7,780.40 : x
  2. Step 2: Convert to fraction form
    8,051.35/11,105.24 = 7,780.40/x
  3. Step 3: Cross multiply
    8,051.35x = 11,105.24 × 7,780.40
  4. Step 4: Simplify right side
    8,051.35x = 86,403,220.04
  5. Step 5: Solve for x
    x = 86,403,220.04/8,051.35
  6. Step 6: Final answer
    x = 10,731.52

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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.