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Finding the Fourth Proportional to 10,583.70, 15,861.62 and 5,905.92

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Solution

The fourth proportional to 10,583.70, 15,861.62 and 5,905.92 is: 8,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.70 : 15,861.62 = 5,905.92 : x
  2. Step 2: Convert to fraction form
    10,583.70/15,861.62 = 5,905.92/x
  3. Step 3: Cross multiply
    10,583.70x = 15,861.62 × 5,905.92
  4. Step 4: Simplify right side
    10,583.70x = 93,677,429.26
  5. Step 5: Solve for x
    x = 93,677,429.26/10,583.70
  6. Step 6: Final answer
    x = 8,851.10

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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.