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Finding the Fourth Proportional to 11,502.10, 15,871.50 and 6,465.76

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Solution

The fourth proportional to 11,502.10, 15,871.50 and 6,465.76 is: 8,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.10 : 15,871.50 = 6,465.76 : x
  2. Step 2: Convert to fraction form
    11,502.10/15,871.50 = 6,465.76/x
  3. Step 3: Cross multiply
    11,502.10x = 15,871.50 × 6,465.76
  4. Step 4: Simplify right side
    11,502.10x = 102,621,309.84
  5. Step 5: Solve for x
    x = 102,621,309.84/11,502.10
  6. Step 6: Final answer
    x = 8,921.96

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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.