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Finding the Fourth Proportional to 11,501.48, 15,872.22 and 6,465.68

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Solution

The fourth proportional to 11,501.48, 15,872.22 and 6,465.68 is: 8,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.48 : 15,872.22 = 6,465.68 : x
  2. Step 2: Convert to fraction form
    11,501.48/15,872.22 = 6,465.68/x
  3. Step 3: Cross multiply
    11,501.48x = 15,872.22 × 6,465.68
  4. Step 4: Simplify right side
    11,501.48x = 102,624,695.41
  5. Step 5: Solve for x
    x = 102,624,695.41/11,501.48
  6. Step 6: Final answer
    x = 8,922.74

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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.