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Finding the Fourth Proportional to 10,509.29, 14,502.89 and 5,793.58

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Solution

The fourth proportional to 10,509.29, 14,502.89 and 5,793.58 is: 7,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.29 : 14,502.89 = 5,793.58 : x
  2. Step 2: Convert to fraction form
    10,509.29/14,502.89 = 5,793.58/x
  3. Step 3: Cross multiply
    10,509.29x = 14,502.89 × 5,793.58
  4. Step 4: Simplify right side
    10,509.29x = 84,023,653.45
  5. Step 5: Solve for x
    x = 84,023,653.45/10,509.29
  6. Step 6: Final answer
    x = 7,995.18

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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.