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Finding the Fourth Proportional to 10,509.76, 14,502.56 and 5,793.28

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Solution

The fourth proportional to 10,509.76, 14,502.56 and 5,793.28 is: 7,994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.76 : 14,502.56 = 5,793.28 : x
  2. Step 2: Convert to fraction form
    10,509.76/14,502.56 = 5,793.28/x
  3. Step 3: Cross multiply
    10,509.76x = 14,502.56 × 5,793.28
  4. Step 4: Simplify right side
    10,509.76x = 84,017,390.80
  5. Step 5: Solve for x
    x = 84,017,390.80/10,509.76
  6. Step 6: Final answer
    x = 7,994.23

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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.