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Finding the Fourth Proportional to 12,875.76, 17,771.16 and 7,288.56

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Solution

The fourth proportional to 12,875.76, 17,771.16 and 7,288.56 is: 10,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.76 : 17,771.16 = 7,288.56 : x
  2. Step 2: Convert to fraction form
    12,875.76/17,771.16 = 7,288.56/x
  3. Step 3: Cross multiply
    12,875.76x = 17,771.16 × 7,288.56
  4. Step 4: Simplify right side
    12,875.76x = 129,526,165.93
  5. Step 5: Solve for x
    x = 129,526,165.93/12,875.76
  6. Step 6: Final answer
    x = 10,059.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.