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Finding the Fourth Proportional to 7,403.94, 10,202.76 and 7,311.96

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Solution

The fourth proportional to 7,403.94, 10,202.76 and 7,311.96 is: 10,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.94 : 10,202.76 = 7,311.96 : x
  2. Step 2: Convert to fraction form
    7,403.94/10,202.76 = 7,311.96/x
  3. Step 3: Cross multiply
    7,403.94x = 10,202.76 × 7,311.96
  4. Step 4: Simplify right side
    7,403.94x = 74,602,173.01
  5. Step 5: Solve for x
    x = 74,602,173.01/7,403.94
  6. Step 6: Final answer
    x = 10,076.01

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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.