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Finding the Fourth Proportional to 7,602.31, 10,500.33 and 5,722.30

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Solution

The fourth proportional to 7,602.31, 10,500.33 and 5,722.30 is: 7,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.31 : 10,500.33 = 5,722.30 : x
  2. Step 2: Convert to fraction form
    7,602.31/10,500.33 = 5,722.30/x
  3. Step 3: Cross multiply
    7,602.31x = 10,500.33 × 5,722.30
  4. Step 4: Simplify right side
    7,602.31x = 60,086,038.36
  5. Step 5: Solve for x
    x = 60,086,038.36/7,602.31
  6. Step 6: Final answer
    x = 7,903.66

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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.