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Finding the Fourth Proportional to 10,400.51, 14,352.04 and 5,924.18

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Solution

The fourth proportional to 10,400.51, 14,352.04 and 5,924.18 is: 8,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.51 : 14,352.04 = 5,924.18 : x
  2. Step 2: Convert to fraction form
    10,400.51/14,352.04 = 5,924.18/x
  3. Step 3: Cross multiply
    10,400.51x = 14,352.04 × 5,924.18
  4. Step 4: Simplify right side
    10,400.51x = 85,024,068.33
  5. Step 5: Solve for x
    x = 85,024,068.33/10,400.51
  6. Step 6: Final answer
    x = 8,174.99

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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.