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Finding the Fourth Proportional to 10,448.01, 15,674.61 and 5,185.49

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Solution

The fourth proportional to 10,448.01, 15,674.61 and 5,185.49 is: 7,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.01 : 15,674.61 = 5,185.49 : x
  2. Step 2: Convert to fraction form
    10,448.01/15,674.61 = 5,185.49/x
  3. Step 3: Cross multiply
    10,448.01x = 15,674.61 × 5,185.49
  4. Step 4: Simplify right side
    10,448.01x = 81,280,606.74
  5. Step 5: Solve for x
    x = 81,280,606.74/10,448.01
  6. Step 6: Final answer
    x = 7,779.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.