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Finding the Fourth Proportional to 7,068.52, 10,602.94 and 2,138.14

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Solution

The fourth proportional to 7,068.52, 10,602.94 and 2,138.14 is: 3,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.52 : 10,602.94 = 2,138.14 : x
  2. Step 2: Convert to fraction form
    7,068.52/10,602.94 = 2,138.14/x
  3. Step 3: Cross multiply
    7,068.52x = 10,602.94 × 2,138.14
  4. Step 4: Simplify right side
    7,068.52x = 22,670,570.13
  5. Step 5: Solve for x
    x = 22,670,570.13/7,068.52
  6. Step 6: Final answer
    x = 3,207.26

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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.