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Finding the Fourth Proportional to 11,570.87, 15,967.02 and 6,466.05

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Solution

The fourth proportional to 11,570.87, 15,967.02 and 6,466.05 is: 8,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.87 : 15,967.02 = 6,466.05 : x
  2. Step 2: Convert to fraction form
    11,570.87/15,967.02 = 6,466.05/x
  3. Step 3: Cross multiply
    11,570.87x = 15,967.02 × 6,466.05
  4. Step 4: Simplify right side
    11,570.87x = 103,243,549.67
  5. Step 5: Solve for x
    x = 103,243,549.67/11,570.87
  6. Step 6: Final answer
    x = 8,922.71

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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.