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Finding the Fourth Proportional to 10,271.46, 15,383.59 and 6,522.96

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Solution

The fourth proportional to 10,271.46, 15,383.59 and 6,522.96 is: 9,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.46 : 15,383.59 = 6,522.96 : x
  2. Step 2: Convert to fraction form
    10,271.46/15,383.59 = 6,522.96/x
  3. Step 3: Cross multiply
    10,271.46x = 15,383.59 × 6,522.96
  4. Step 4: Simplify right side
    10,271.46x = 100,346,509.61
  5. Step 5: Solve for x
    x = 100,346,509.61/10,271.46
  6. Step 6: Final answer
    x = 9,769.45

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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.