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Finding the Fourth Proportional to 7,328.94, 10,998.81 and 2,946.66

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Solution

The fourth proportional to 7,328.94, 10,998.81 and 2,946.66 is: 4,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.94 : 10,998.81 = 2,946.66 : x
  2. Step 2: Convert to fraction form
    7,328.94/10,998.81 = 2,946.66/x
  3. Step 3: Cross multiply
    7,328.94x = 10,998.81 × 2,946.66
  4. Step 4: Simplify right side
    7,328.94x = 32,409,753.47
  5. Step 5: Solve for x
    x = 32,409,753.47/7,328.94
  6. Step 6: Final answer
    x = 4,422.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.