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Finding the Fourth Proportional to 7,009.34, 10,518.26 and 3,114.05

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Solution

The fourth proportional to 7,009.34, 10,518.26 and 3,114.05 is: 4,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.34 : 10,518.26 = 3,114.05 : x
  2. Step 2: Convert to fraction form
    7,009.34/10,518.26 = 3,114.05/x
  3. Step 3: Cross multiply
    7,009.34x = 10,518.26 × 3,114.05
  4. Step 4: Simplify right side
    7,009.34x = 32,754,319.39
  5. Step 5: Solve for x
    x = 32,754,319.39/7,009.34
  6. Step 6: Final answer
    x = 4,672.96

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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.