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Finding the Fourth Proportional to 7,946.50, 10,966.41 and 4,410.04

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Solution

The fourth proportional to 7,946.50, 10,966.41 and 4,410.04 is: 6,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.50 : 10,966.41 = 4,410.04 : x
  2. Step 2: Convert to fraction form
    7,946.50/10,966.41 = 4,410.04/x
  3. Step 3: Cross multiply
    7,946.50x = 10,966.41 × 4,410.04
  4. Step 4: Simplify right side
    7,946.50x = 48,362,306.76
  5. Step 5: Solve for x
    x = 48,362,306.76/7,946.50
  6. Step 6: Final answer
    x = 6,085.99

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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.