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Finding the Fourth Proportional to 13,084.82, 18,056.87 and 7,116.54

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Solution

The fourth proportional to 13,084.82, 18,056.87 and 7,116.54 is: 9,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.82 : 18,056.87 = 7,116.54 : x
  2. Step 2: Convert to fraction form
    13,084.82/18,056.87 = 7,116.54/x
  3. Step 3: Cross multiply
    13,084.82x = 18,056.87 × 7,116.54
  4. Step 4: Simplify right side
    13,084.82x = 128,502,437.63
  5. Step 5: Solve for x
    x = 128,502,437.63/13,084.82
  6. Step 6: Final answer
    x = 9,820.73

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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.