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Finding the Fourth Proportional to 10,583.73, 15,798.31 and 9,812.81

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Solution

The fourth proportional to 10,583.73, 15,798.31 and 9,812.81 is: 14,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.73 : 15,798.31 = 9,812.81 : x
  2. Step 2: Convert to fraction form
    10,583.73/15,798.31 = 9,812.81/x
  3. Step 3: Cross multiply
    10,583.73x = 15,798.31 × 9,812.81
  4. Step 4: Simplify right side
    10,583.73x = 155,025,829.31
  5. Step 5: Solve for x
    x = 155,025,829.31/10,583.73
  6. Step 6: Final answer
    x = 14,647.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.