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Finding the Fourth Proportional to 10,509.06, 14,502.62 and 5,793.51

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Solution

The fourth proportional to 10,509.06, 14,502.62 and 5,793.51 is: 7,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.06 : 14,502.62 = 5,793.51 : x
  2. Step 2: Convert to fraction form
    10,509.06/14,502.62 = 5,793.51/x
  3. Step 3: Cross multiply
    10,509.06x = 14,502.62 × 5,793.51
  4. Step 4: Simplify right side
    10,509.06x = 84,021,045.03
  5. Step 5: Solve for x
    x = 84,021,045.03/10,509.06
  6. Step 6: Final answer
    x = 7,995.11

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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.