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Finding the Fourth Proportional to 10,754.40, 14,841.48 and 6,277.44

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Solution

The fourth proportional to 10,754.40, 14,841.48 and 6,277.44 is: 8,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.40 : 14,841.48 = 6,277.44 : x
  2. Step 2: Convert to fraction form
    10,754.40/14,841.48 = 6,277.44/x
  3. Step 3: Cross multiply
    10,754.40x = 14,841.48 × 6,277.44
  4. Step 4: Simplify right side
    10,754.40x = 93,166,500.21
  5. Step 5: Solve for x
    x = 93,166,500.21/10,754.40
  6. Step 6: Final answer
    x = 8,663.11

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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.