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Finding the Fourth Proportional to 10,112.34, 13,955.04 and 5,636.10

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Solution

The fourth proportional to 10,112.34, 13,955.04 and 5,636.10 is: 7,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.34 : 13,955.04 = 5,636.10 : x
  2. Step 2: Convert to fraction form
    10,112.34/13,955.04 = 5,636.10/x
  3. Step 3: Cross multiply
    10,112.34x = 13,955.04 × 5,636.10
  4. Step 4: Simplify right side
    10,112.34x = 78,652,000.94
  5. Step 5: Solve for x
    x = 78,652,000.94/10,112.34
  6. Step 6: Final answer
    x = 7,777.82

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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.