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Finding the Fourth Proportional to 10,362.92, 14,300.31 and 5,886.08

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Solution

The fourth proportional to 10,362.92, 14,300.31 and 5,886.08 is: 8,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.92 : 14,300.31 = 5,886.08 : x
  2. Step 2: Convert to fraction form
    10,362.92/14,300.31 = 5,886.08/x
  3. Step 3: Cross multiply
    10,362.92x = 14,300.31 × 5,886.08
  4. Step 4: Simplify right side
    10,362.92x = 84,172,768.68
  5. Step 5: Solve for x
    x = 84,172,768.68/10,362.92
  6. Step 6: Final answer
    x = 8,122.50

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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.