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Finding the Fourth Proportional to 6,678.60, 10,019.54 and 2,296.12

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Solution

The fourth proportional to 6,678.60, 10,019.54 and 2,296.12 is: 3,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.60 : 10,019.54 = 2,296.12 : x
  2. Step 2: Convert to fraction form
    6,678.60/10,019.54 = 2,296.12/x
  3. Step 3: Cross multiply
    6,678.60x = 10,019.54 × 2,296.12
  4. Step 4: Simplify right side
    6,678.60x = 23,006,066.18
  5. Step 5: Solve for x
    x = 23,006,066.18/6,678.60
  6. Step 6: Final answer
    x = 3,444.74

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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.