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Finding the Fourth Proportional to 10,802.99, 14,910.90 and 7,035.56

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Solution

The fourth proportional to 10,802.99, 14,910.90 and 7,035.56 is: 9,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.99 : 14,910.90 = 7,035.56 : x
  2. Step 2: Convert to fraction form
    10,802.99/14,910.90 = 7,035.56/x
  3. Step 3: Cross multiply
    10,802.99x = 14,910.90 × 7,035.56
  4. Step 4: Simplify right side
    10,802.99x = 104,906,531.60
  5. Step 5: Solve for x
    x = 104,906,531.60/10,802.99
  6. Step 6: Final answer
    x = 9,710.88

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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.