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Finding the Fourth Proportional to 13,084.39, 18,056.79 and 7,116.40

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Solution

The fourth proportional to 13,084.39, 18,056.79 and 7,116.40 is: 9,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.39 : 18,056.79 = 7,116.40 : x
  2. Step 2: Convert to fraction form
    13,084.39/18,056.79 = 7,116.40/x
  3. Step 3: Cross multiply
    13,084.39x = 18,056.79 × 7,116.40
  4. Step 4: Simplify right side
    13,084.39x = 128,499,340.36
  5. Step 5: Solve for x
    x = 128,499,340.36/13,084.39
  6. Step 6: Final answer
    x = 9,820.81

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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.