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Finding the Fourth Proportional to 10,723.87, 16,073.37 and 6,345.01

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Solution

The fourth proportional to 10,723.87, 16,073.37 and 6,345.01 is: 9,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.87 : 16,073.37 = 6,345.01 : x
  2. Step 2: Convert to fraction form
    10,723.87/16,073.37 = 6,345.01/x
  3. Step 3: Cross multiply
    10,723.87x = 16,073.37 × 6,345.01
  4. Step 4: Simplify right side
    10,723.87x = 101,985,693.38
  5. Step 5: Solve for x
    x = 101,985,693.38/10,723.87
  6. Step 6: Final answer
    x = 9,510.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.