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Finding the Fourth Proportional to 10,585.08, 14,607.54 and 5,869.44

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Solution

The fourth proportional to 10,585.08, 14,607.54 and 5,869.44 is: 8,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.08 : 14,607.54 = 5,869.44 : x
  2. Step 2: Convert to fraction form
    10,585.08/14,607.54 = 5,869.44/x
  3. Step 3: Cross multiply
    10,585.08x = 14,607.54 × 5,869.44
  4. Step 4: Simplify right side
    10,585.08x = 85,738,079.58
  5. Step 5: Solve for x
    x = 85,738,079.58/10,585.08
  6. Step 6: Final answer
    x = 8,099.90

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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.