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Finding the Fourth Proportional to 11,457.11, 15,808.97 and 6,420.87

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Solution

The fourth proportional to 11,457.11, 15,808.97 and 6,420.87 is: 8,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.11 : 15,808.97 = 6,420.87 : x
  2. Step 2: Convert to fraction form
    11,457.11/15,808.97 = 6,420.87/x
  3. Step 3: Cross multiply
    11,457.11x = 15,808.97 × 6,420.87
  4. Step 4: Simplify right side
    11,457.11x = 101,507,357.26
  5. Step 5: Solve for x
    x = 101,507,357.26/11,457.11
  6. Step 6: Final answer
    x = 8,859.77

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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.