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Finding the Fourth Proportional to 7,946.31, 10,965.86 and 4,409.51

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Solution

The fourth proportional to 7,946.31, 10,965.86 and 4,409.51 is: 6,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.31 : 10,965.86 = 4,409.51 : x
  2. Step 2: Convert to fraction form
    7,946.31/10,965.86 = 4,409.51/x
  3. Step 3: Cross multiply
    7,946.31x = 10,965.86 × 4,409.51
  4. Step 4: Simplify right side
    7,946.31x = 48,354,014.50
  5. Step 5: Solve for x
    x = 48,354,014.50/7,946.31
  6. Step 6: Final answer
    x = 6,085.09

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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.