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Finding the Fourth Proportional to 11,038.89, 16,565.63 and 5,197.17

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Solution

The fourth proportional to 11,038.89, 16,565.63 and 5,197.17 is: 7,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.89 : 16,565.63 = 5,197.17 : x
  2. Step 2: Convert to fraction form
    11,038.89/16,565.63 = 5,197.17/x
  3. Step 3: Cross multiply
    11,038.89x = 16,565.63 × 5,197.17
  4. Step 4: Simplify right side
    11,038.89x = 86,094,395.27
  5. Step 5: Solve for x
    x = 86,094,395.27/11,038.89
  6. Step 6: Final answer
    x = 7,799.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.