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Finding the Fourth Proportional to 10,466.75, 15,699.92 and 3,071.05

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Solution

The fourth proportional to 10,466.75, 15,699.92 and 3,071.05 is: 4,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.75 : 15,699.92 = 3,071.05 : x
  2. Step 2: Convert to fraction form
    10,466.75/15,699.92 = 3,071.05/x
  3. Step 3: Cross multiply
    10,466.75x = 15,699.92 × 3,071.05
  4. Step 4: Simplify right side
    10,466.75x = 48,215,184.71
  5. Step 5: Solve for x
    x = 48,215,184.71/10,466.75
  6. Step 6: Final answer
    x = 4,606.51

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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.