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Finding the Fourth Proportional to 11,078.40, 15,288.68 and 6,364.16

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Solution

The fourth proportional to 11,078.40, 15,288.68 and 6,364.16 is: 8,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.40 : 15,288.68 = 6,364.16 : x
  2. Step 2: Convert to fraction form
    11,078.40/15,288.68 = 6,364.16/x
  3. Step 3: Cross multiply
    11,078.40x = 15,288.68 × 6,364.16
  4. Step 4: Simplify right side
    11,078.40x = 97,299,605.71
  5. Step 5: Solve for x
    x = 97,299,605.71/11,078.40
  6. Step 6: Final answer
    x = 8,782.82

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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.