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Finding the Fourth Proportional to 10,754.64, 14,841.36 and 6,278.58

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Solution

The fourth proportional to 10,754.64, 14,841.36 and 6,278.58 is: 8,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.64 : 14,841.36 = 6,278.58 : x
  2. Step 2: Convert to fraction form
    10,754.64/14,841.36 = 6,278.58/x
  3. Step 3: Cross multiply
    10,754.64x = 14,841.36 × 6,278.58
  4. Step 4: Simplify right side
    10,754.64x = 93,182,666.07
  5. Step 5: Solve for x
    x = 93,182,666.07/10,754.64
  6. Step 6: Final answer
    x = 8,664.42

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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.