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Finding the Fourth Proportional to 10,203.96, 15,288.66 and 8,130.36

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Solution

The fourth proportional to 10,203.96, 15,288.66 and 8,130.36 is: 12,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.96 : 15,288.66 = 8,130.36 : x
  2. Step 2: Convert to fraction form
    10,203.96/15,288.66 = 8,130.36/x
  3. Step 3: Cross multiply
    10,203.96x = 15,288.66 × 8,130.36
  4. Step 4: Simplify right side
    10,203.96x = 124,302,309.72
  5. Step 5: Solve for x
    x = 124,302,309.72/10,203.96
  6. Step 6: Final answer
    x = 12,181.77

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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.