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Finding the Fourth Proportional to 10,585.48, 14,607.84 and 5,869.72

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Solution

The fourth proportional to 10,585.48, 14,607.84 and 5,869.72 is: 8,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.48 : 14,607.84 = 5,869.72 : x
  2. Step 2: Convert to fraction form
    10,585.48/14,607.84 = 5,869.72/x
  3. Step 3: Cross multiply
    10,585.48x = 14,607.84 × 5,869.72
  4. Step 4: Simplify right side
    10,585.48x = 85,743,930.60
  5. Step 5: Solve for x
    x = 85,743,930.60/10,585.48
  6. Step 6: Final answer
    x = 8,100.15

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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.