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Finding the Fourth Proportional to 11,466.03, 15,830.84 and 7,165.65

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Solution

The fourth proportional to 11,466.03, 15,830.84 and 7,165.65 is: 9,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.03 : 15,830.84 = 7,165.65 : x
  2. Step 2: Convert to fraction form
    11,466.03/15,830.84 = 7,165.65/x
  3. Step 3: Cross multiply
    11,466.03x = 15,830.84 × 7,165.65
  4. Step 4: Simplify right side
    11,466.03x = 113,438,222.82
  5. Step 5: Solve for x
    x = 113,438,222.82/11,466.03
  6. Step 6: Final answer
    x = 9,893.42

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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.