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Finding the Fourth Proportional to 7,154.07, 10,728.14 and 2,769

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Solution

The fourth proportional to 7,154.07, 10,728.14 and 2,769 is: 4,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.07 : 10,728.14 = 2,769 : x
  2. Step 2: Convert to fraction form
    7,154.07/10,728.14 = 2,769/x
  3. Step 3: Cross multiply
    7,154.07x = 10,728.14 × 2,769
  4. Step 4: Simplify right side
    7,154.07x = 29,706,205.82
  5. Step 5: Solve for x
    x = 29,706,205.82/7,154.07
  6. Step 6: Final answer
    x = 4,152.35

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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.