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Finding the Fourth Proportional to 7,946.94, 10,966.29 and 4,409.94

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Solution

The fourth proportional to 7,946.94, 10,966.29 and 4,409.94 is: 6,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.94 : 10,966.29 = 4,409.94 : x
  2. Step 2: Convert to fraction form
    7,946.94/10,966.29 = 4,409.94/x
  3. Step 3: Cross multiply
    7,946.94x = 10,966.29 × 4,409.94
  4. Step 4: Simplify right side
    7,946.94x = 48,360,680.92
  5. Step 5: Solve for x
    x = 48,360,680.92/7,946.94
  6. Step 6: Final answer
    x = 6,085.45

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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.