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Finding the Fourth Proportional to 10,362.94, 14,301.16 and 5,647.52

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Solution

The fourth proportional to 10,362.94, 14,301.16 and 5,647.52 is: 7,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.94 : 14,301.16 = 5,647.52 : x
  2. Step 2: Convert to fraction form
    10,362.94/14,301.16 = 5,647.52/x
  3. Step 3: Cross multiply
    10,362.94x = 14,301.16 × 5,647.52
  4. Step 4: Simplify right side
    10,362.94x = 80,766,108.76
  5. Step 5: Solve for x
    x = 80,766,108.76/10,362.94
  6. Step 6: Final answer
    x = 7,793.75

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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.