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Finding the Fourth Proportional to 10,585.98, 14,575.39 and 8,989.28

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Solution

The fourth proportional to 10,585.98, 14,575.39 and 8,989.28 is: 12,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.98 : 14,575.39 = 8,989.28 : x
  2. Step 2: Convert to fraction form
    10,585.98/14,575.39 = 8,989.28/x
  3. Step 3: Cross multiply
    10,585.98x = 14,575.39 × 8,989.28
  4. Step 4: Simplify right side
    10,585.98x = 131,022,261.82
  5. Step 5: Solve for x
    x = 131,022,261.82/10,585.98
  6. Step 6: Final answer
    x = 12,376.96

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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.