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Finding the Fourth Proportional to 8,350.84, 11,532.90 and 5,705.08

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Solution

The fourth proportional to 8,350.84, 11,532.90 and 5,705.08 is: 7,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.84 : 11,532.90 = 5,705.08 : x
  2. Step 2: Convert to fraction form
    8,350.84/11,532.90 = 5,705.08/x
  3. Step 3: Cross multiply
    8,350.84x = 11,532.90 × 5,705.08
  4. Step 4: Simplify right side
    8,350.84x = 65,796,117.13
  5. Step 5: Solve for x
    x = 65,796,117.13/8,350.84
  6. Step 6: Final answer
    x = 7,878.98

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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.