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Finding the Fourth Proportional to 10,509.35, 14,503.94 and 5,793.63

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Solution

The fourth proportional to 10,509.35, 14,503.94 and 5,793.63 is: 7,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.35 : 14,503.94 = 5,793.63 : x
  2. Step 2: Convert to fraction form
    10,509.35/14,503.94 = 5,793.63/x
  3. Step 3: Cross multiply
    10,509.35x = 14,503.94 × 5,793.63
  4. Step 4: Simplify right side
    10,509.35x = 84,030,432.93
  5. Step 5: Solve for x
    x = 84,030,432.93/10,509.35
  6. Step 6: Final answer
    x = 7,995.78

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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.