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Finding the Fourth Proportional to 7,538.01, 11,297.25 and 6,490.98

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Solution

The fourth proportional to 7,538.01, 11,297.25 and 6,490.98 is: 9,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.01 : 11,297.25 = 6,490.98 : x
  2. Step 2: Convert to fraction form
    7,538.01/11,297.25 = 6,490.98/x
  3. Step 3: Cross multiply
    7,538.01x = 11,297.25 × 6,490.98
  4. Step 4: Simplify right side
    7,538.01x = 73,330,223.81
  5. Step 5: Solve for x
    x = 73,330,223.81/7,538.01
  6. Step 6: Final answer
    x = 9,728.07

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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.