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Finding the Fourth Proportional to 5,678.06, 8,499.60 and 5,143.46

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Solution

The fourth proportional to 5,678.06, 8,499.60 and 5,143.46 is: 7,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.06 : 8,499.60 = 5,143.46 : x
  2. Step 2: Convert to fraction form
    5,678.06/8,499.60 = 5,143.46/x
  3. Step 3: Cross multiply
    5,678.06x = 8,499.60 × 5,143.46
  4. Step 4: Simplify right side
    5,678.06x = 43,717,310.12
  5. Step 5: Solve for x
    x = 43,717,310.12/5,678.06
  6. Step 6: Final answer
    x = 7,699.35

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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.