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Finding the Fourth Proportional to 10,362.54, 14,299.78 and 5,885.72

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Solution

The fourth proportional to 10,362.54, 14,299.78 and 5,885.72 is: 8,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.54 : 14,299.78 = 5,885.72 : x
  2. Step 2: Convert to fraction form
    10,362.54/14,299.78 = 5,885.72/x
  3. Step 3: Cross multiply
    10,362.54x = 14,299.78 × 5,885.72
  4. Step 4: Simplify right side
    10,362.54x = 84,164,501.14
  5. Step 5: Solve for x
    x = 84,164,501.14/10,362.54
  6. Step 6: Final answer
    x = 8,122.00

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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.