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Finding the Fourth Proportional to 7,299.48, 10,005.72 and 7,201.02

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Solution

The fourth proportional to 7,299.48, 10,005.72 and 7,201.02 is: 9,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.48 : 10,005.72 = 7,201.02 : x
  2. Step 2: Convert to fraction form
    7,299.48/10,005.72 = 7,201.02/x
  3. Step 3: Cross multiply
    7,299.48x = 10,005.72 × 7,201.02
  4. Step 4: Simplify right side
    7,299.48x = 72,051,389.83
  5. Step 5: Solve for x
    x = 72,051,389.83/7,299.48
  6. Step 6: Final answer
    x = 9,870.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.