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Finding the Fourth Proportional to 7,994.62, 11,032.46 and 4,457.74

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Solution

The fourth proportional to 7,994.62, 11,032.46 and 4,457.74 is: 6,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.62 : 11,032.46 = 4,457.74 : x
  2. Step 2: Convert to fraction form
    7,994.62/11,032.46 = 4,457.74/x
  3. Step 3: Cross multiply
    7,994.62x = 11,032.46 × 4,457.74
  4. Step 4: Simplify right side
    7,994.62x = 49,179,838.24
  5. Step 5: Solve for x
    x = 49,179,838.24/7,994.62
  6. Step 6: Final answer
    x = 6,151.62

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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.