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Finding the Fourth Proportional to 8,580.56, 12,873.06 and 2,424.56

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Solution

The fourth proportional to 8,580.56, 12,873.06 and 2,424.56 is: 3,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.56 : 12,873.06 = 2,424.56 : x
  2. Step 2: Convert to fraction form
    8,580.56/12,873.06 = 2,424.56/x
  3. Step 3: Cross multiply
    8,580.56x = 12,873.06 × 2,424.56
  4. Step 4: Simplify right side
    8,580.56x = 31,211,506.35
  5. Step 5: Solve for x
    x = 31,211,506.35/8,580.56
  6. Step 6: Final answer
    x = 3,637.47

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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.