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Finding the Fourth Proportional to 10,501.13, 14,491.62 and 5,785.44

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Solution

The fourth proportional to 10,501.13, 14,491.62 and 5,785.44 is: 7,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.13 : 14,491.62 = 5,785.44 : x
  2. Step 2: Convert to fraction form
    10,501.13/14,491.62 = 5,785.44/x
  3. Step 3: Cross multiply
    10,501.13x = 14,491.62 × 5,785.44
  4. Step 4: Simplify right side
    10,501.13x = 83,840,398.01
  5. Step 5: Solve for x
    x = 83,840,398.01/10,501.13
  6. Step 6: Final answer
    x = 7,983.94

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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.