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Finding the Fourth Proportional to 7,459.72, 10,288.82 and 7,128.84

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Solution

The fourth proportional to 7,459.72, 10,288.82 and 7,128.84 is: 9,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.72 : 10,288.82 = 7,128.84 : x
  2. Step 2: Convert to fraction form
    7,459.72/10,288.82 = 7,128.84/x
  3. Step 3: Cross multiply
    7,459.72x = 10,288.82 × 7,128.84
  4. Step 4: Simplify right side
    7,459.72x = 73,347,351.57
  5. Step 5: Solve for x
    x = 73,347,351.57/7,459.72
  6. Step 6: Final answer
    x = 9,832.45

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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.