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Finding the Fourth Proportional to 7,534.42, 10,399.05 and 5,016.63

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Solution

The fourth proportional to 7,534.42, 10,399.05 and 5,016.63 is: 6,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.42 : 10,399.05 = 5,016.63 : x
  2. Step 2: Convert to fraction form
    7,534.42/10,399.05 = 5,016.63/x
  3. Step 3: Cross multiply
    7,534.42x = 10,399.05 × 5,016.63
  4. Step 4: Simplify right side
    7,534.42x = 52,168,225.20
  5. Step 5: Solve for x
    x = 52,168,225.20/7,534.42
  6. Step 6: Final answer
    x = 6,923.99

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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.