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Finding the Fourth Proportional to 10,842.72, 14,956.56 and 6,648

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Solution

The fourth proportional to 10,842.72, 14,956.56 and 6,648 is: 9,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.72 : 14,956.56 = 6,648 : x
  2. Step 2: Convert to fraction form
    10,842.72/14,956.56 = 6,648/x
  3. Step 3: Cross multiply
    10,842.72x = 14,956.56 × 6,648
  4. Step 4: Simplify right side
    10,842.72x = 99,431,210.88
  5. Step 5: Solve for x
    x = 99,431,210.88/10,842.72
  6. Step 6: Final answer
    x = 9,170.32

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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.