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Finding the Fourth Proportional to 11,457.99, 15,811.47 and 6,422.76

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Solution

The fourth proportional to 11,457.99, 15,811.47 and 6,422.76 is: 8,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.99 : 15,811.47 = 6,422.76 : x
  2. Step 2: Convert to fraction form
    11,457.99/15,811.47 = 6,422.76/x
  3. Step 3: Cross multiply
    11,457.99x = 15,811.47 × 6,422.76
  4. Step 4: Simplify right side
    11,457.99x = 101,553,277.06
  5. Step 5: Solve for x
    x = 101,553,277.06/11,457.99
  6. Step 6: Final answer
    x = 8,863.10

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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.