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Finding the Fourth Proportional to 10,475.74, 15,707.79 and 4,847.26

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Solution

The fourth proportional to 10,475.74, 15,707.79 and 4,847.26 is: 7,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.74 : 15,707.79 = 4,847.26 : x
  2. Step 2: Convert to fraction form
    10,475.74/15,707.79 = 4,847.26/x
  3. Step 3: Cross multiply
    10,475.74x = 15,707.79 × 4,847.26
  4. Step 4: Simplify right side
    10,475.74x = 76,139,742.16
  5. Step 5: Solve for x
    x = 76,139,742.16/10,475.74
  6. Step 6: Final answer
    x = 7,268.20

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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.