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Finding the Fourth Proportional to 10,754.35, 14,842.00 and 6,506.45

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Solution

The fourth proportional to 10,754.35, 14,842.00 and 6,506.45 is: 8,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.35 : 14,842.00 = 6,506.45 : x
  2. Step 2: Convert to fraction form
    10,754.35/14,842.00 = 6,506.45/x
  3. Step 3: Cross multiply
    10,754.35x = 14,842.00 × 6,506.45
  4. Step 4: Simplify right side
    10,754.35x = 96,568,803.29
  5. Step 5: Solve for x
    x = 96,568,803.29/10,754.35
  6. Step 6: Final answer
    x = 8,979.51

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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.