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Finding the Fourth Proportional to 6,697.81, 10,016.53 and 5,117.01

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Solution

The fourth proportional to 6,697.81, 10,016.53 and 5,117.01 is: 7,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.81 : 10,016.53 = 5,117.01 : x
  2. Step 2: Convert to fraction form
    6,697.81/10,016.53 = 5,117.01/x
  3. Step 3: Cross multiply
    6,697.81x = 10,016.53 × 5,117.01
  4. Step 4: Simplify right side
    6,697.81x = 51,254,633.82
  5. Step 5: Solve for x
    x = 51,254,633.82/6,697.81
  6. Step 6: Final answer
    x = 7,652.45

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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.