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Finding the Fourth Proportional to 7,946.99, 10,966.74 and 4,410.12

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Solution

The fourth proportional to 7,946.99, 10,966.74 and 4,410.12 is: 6,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.99 : 10,966.74 = 4,410.12 : x
  2. Step 2: Convert to fraction form
    7,946.99/10,966.74 = 4,410.12/x
  3. Step 3: Cross multiply
    7,946.99x = 10,966.74 × 4,410.12
  4. Step 4: Simplify right side
    7,946.99x = 48,364,688.80
  5. Step 5: Solve for x
    x = 48,364,688.80/7,946.99
  6. Step 6: Final answer
    x = 6,085.91

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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.