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Finding the Fourth Proportional to 11,042.10, 16,565.16 and 7,097.28

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Solution

The fourth proportional to 11,042.10, 16,565.16 and 7,097.28 is: 10,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.10 : 16,565.16 = 7,097.28 : x
  2. Step 2: Convert to fraction form
    11,042.10/16,565.16 = 7,097.28/x
  3. Step 3: Cross multiply
    11,042.10x = 16,565.16 × 7,097.28
  4. Step 4: Simplify right side
    11,042.10x = 117,567,578.76
  5. Step 5: Solve for x
    x = 117,567,578.76/11,042.10
  6. Step 6: Final answer
    x = 10,647.21

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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.