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Finding the Fourth Proportional to 10,441.70, 14,415.10 and 7,102.34

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Solution

The fourth proportional to 10,441.70, 14,415.10 and 7,102.34 is: 9,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.70 : 14,415.10 = 7,102.34 : x
  2. Step 2: Convert to fraction form
    10,441.70/14,415.10 = 7,102.34/x
  3. Step 3: Cross multiply
    10,441.70x = 14,415.10 × 7,102.34
  4. Step 4: Simplify right side
    10,441.70x = 102,380,941.33
  5. Step 5: Solve for x
    x = 102,380,941.33/10,441.70
  6. Step 6: Final answer
    x = 9,805.01

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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.