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Finding the Fourth Proportional to 7,872.93, 11,802.11 and 4,407.75

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Solution

The fourth proportional to 7,872.93, 11,802.11 and 4,407.75 is: 6,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.93 : 11,802.11 = 4,407.75 : x
  2. Step 2: Convert to fraction form
    7,872.93/11,802.11 = 4,407.75/x
  3. Step 3: Cross multiply
    7,872.93x = 11,802.11 × 4,407.75
  4. Step 4: Simplify right side
    7,872.93x = 52,020,728.31
  5. Step 5: Solve for x
    x = 52,020,728.31/7,872.93
  6. Step 6: Final answer
    x = 6,607.54

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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.