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Finding the Fourth Proportional to 10,195.96, 15,262.08 and 6,502.36

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Solution

The fourth proportional to 10,195.96, 15,262.08 and 6,502.36 is: 9,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.96 : 15,262.08 = 6,502.36 : x
  2. Step 2: Convert to fraction form
    10,195.96/15,262.08 = 6,502.36/x
  3. Step 3: Cross multiply
    10,195.96x = 15,262.08 × 6,502.36
  4. Step 4: Simplify right side
    10,195.96x = 99,239,538.51
  5. Step 5: Solve for x
    x = 99,239,538.51/10,195.96
  6. Step 6: Final answer
    x = 9,733.22

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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.