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Finding the Fourth Proportional to 7,946.52, 10,966.16 and 4,409.73

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Solution

The fourth proportional to 7,946.52, 10,966.16 and 4,409.73 is: 6,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.52 : 10,966.16 = 4,409.73 : x
  2. Step 2: Convert to fraction form
    7,946.52/10,966.16 = 4,409.73/x
  3. Step 3: Cross multiply
    7,946.52x = 10,966.16 × 4,409.73
  4. Step 4: Simplify right side
    7,946.52x = 48,357,782.69
  5. Step 5: Solve for x
    x = 48,357,782.69/7,946.52
  6. Step 6: Final answer
    x = 6,085.40

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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.