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Finding the Fourth Proportional to 11,970.60, 16,516.92 and 7,254

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Solution

The fourth proportional to 11,970.60, 16,516.92 and 7,254 is: 10,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.60 : 16,516.92 = 7,254 : x
  2. Step 2: Convert to fraction form
    11,970.60/16,516.92 = 7,254/x
  3. Step 3: Cross multiply
    11,970.60x = 16,516.92 × 7,254
  4. Step 4: Simplify right side
    11,970.60x = 119,813,737.68
  5. Step 5: Solve for x
    x = 119,813,737.68/11,970.60
  6. Step 6: Final answer
    x = 10,009.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.