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Finding the Fourth Proportional to 10,842.16, 14,960.28 and 6,651.76

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Solution

The fourth proportional to 10,842.16, 14,960.28 and 6,651.76 is: 9,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.16 : 14,960.28 = 6,651.76 : x
  2. Step 2: Convert to fraction form
    10,842.16/14,960.28 = 6,651.76/x
  3. Step 3: Cross multiply
    10,842.16x = 14,960.28 × 6,651.76
  4. Step 4: Simplify right side
    10,842.16x = 99,512,192.09
  5. Step 5: Solve for x
    x = 99,512,192.09/10,842.16
  6. Step 6: Final answer
    x = 9,178.26

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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.