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Finding the Fourth Proportional to 8,301.49, 11,448.74 and 6,530.02

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Solution

The fourth proportional to 8,301.49, 11,448.74 and 6,530.02 is: 9,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.49 : 11,448.74 = 6,530.02 : x
  2. Step 2: Convert to fraction form
    8,301.49/11,448.74 = 6,530.02/x
  3. Step 3: Cross multiply
    8,301.49x = 11,448.74 × 6,530.02
  4. Step 4: Simplify right side
    8,301.49x = 74,760,488.88
  5. Step 5: Solve for x
    x = 74,760,488.88/8,301.49
  6. Step 6: Final answer
    x = 9,005.67

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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.