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Finding the Fourth Proportional to 10,884.42, 15,016.17 and 7,106.37

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Solution

The fourth proportional to 10,884.42, 15,016.17 and 7,106.37 is: 9,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.42 : 15,016.17 = 7,106.37 : x
  2. Step 2: Convert to fraction form
    10,884.42/15,016.17 = 7,106.37/x
  3. Step 3: Cross multiply
    10,884.42x = 15,016.17 × 7,106.37
  4. Step 4: Simplify right side
    10,884.42x = 106,710,460.00
  5. Step 5: Solve for x
    x = 106,710,460.00/10,884.42
  6. Step 6: Final answer
    x = 9,803.96

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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.