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Finding the Fourth Proportional to 7,154.64, 10,723.30 and 3,042

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Solution

The fourth proportional to 7,154.64, 10,723.30 and 3,042 is: 4,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.64 : 10,723.30 = 3,042 : x
  2. Step 2: Convert to fraction form
    7,154.64/10,723.30 = 3,042/x
  3. Step 3: Cross multiply
    7,154.64x = 10,723.30 × 3,042
  4. Step 4: Simplify right side
    7,154.64x = 32,620,278.60
  5. Step 5: Solve for x
    x = 32,620,278.60/7,154.64
  6. Step 6: Final answer
    x = 4,559.32

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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.