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Finding the Fourth Proportional to 10,754.76, 14,841.56 and 6,563

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Solution

The fourth proportional to 10,754.76, 14,841.56 and 6,563 is: 9,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.76 : 14,841.56 = 6,563 : x
  2. Step 2: Convert to fraction form
    10,754.76/14,841.56 = 6,563/x
  3. Step 3: Cross multiply
    10,754.76x = 14,841.56 × 6,563
  4. Step 4: Simplify right side
    10,754.76x = 97,405,158.28
  5. Step 5: Solve for x
    x = 97,405,158.28/10,754.76
  6. Step 6: Final answer
    x = 9,056.93

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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.