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Finding the Fourth Proportional to 10,415.62, 15,618.68 and 6,466.72

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Solution

The fourth proportional to 10,415.62, 15,618.68 and 6,466.72 is: 9,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.62 : 15,618.68 = 6,466.72 : x
  2. Step 2: Convert to fraction form
    10,415.62/15,618.68 = 6,466.72/x
  3. Step 3: Cross multiply
    10,415.62x = 15,618.68 × 6,466.72
  4. Step 4: Simplify right side
    10,415.62x = 101,001,630.33
  5. Step 5: Solve for x
    x = 101,001,630.33/10,415.62
  6. Step 6: Final answer
    x = 9,697.13

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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.