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Finding the Fourth Proportional to 11,216.96, 15,478.91 and 6,433.49

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Solution

The fourth proportional to 11,216.96, 15,478.91 and 6,433.49 is: 8,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.96 : 15,478.91 = 6,433.49 : x
  2. Step 2: Convert to fraction form
    11,216.96/15,478.91 = 6,433.49/x
  3. Step 3: Cross multiply
    11,216.96x = 15,478.91 × 6,433.49
  4. Step 4: Simplify right side
    11,216.96x = 99,583,303.13
  5. Step 5: Solve for x
    x = 99,583,303.13/11,216.96
  6. Step 6: Final answer
    x = 8,877.93

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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.