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Finding the Fourth Proportional to 7,350.24, 10,997.40 and 6,465.72

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Solution

The fourth proportional to 7,350.24, 10,997.40 and 6,465.72 is: 9,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.24 : 10,997.40 = 6,465.72 : x
  2. Step 2: Convert to fraction form
    7,350.24/10,997.40 = 6,465.72/x
  3. Step 3: Cross multiply
    7,350.24x = 10,997.40 × 6,465.72
  4. Step 4: Simplify right side
    7,350.24x = 71,106,109.13
  5. Step 5: Solve for x
    x = 71,106,109.13/7,350.24
  6. Step 6: Final answer
    x = 9,673.98

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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.