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Finding the Fourth Proportional to 10,802.76, 14,910.58 and 7,035.31

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Solution

The fourth proportional to 10,802.76, 14,910.58 and 7,035.31 is: 9,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.76 : 14,910.58 = 7,035.31 : x
  2. Step 2: Convert to fraction form
    10,802.76/14,910.58 = 7,035.31/x
  3. Step 3: Cross multiply
    10,802.76x = 14,910.58 × 7,035.31
  4. Step 4: Simplify right side
    10,802.76x = 104,900,552.58
  5. Step 5: Solve for x
    x = 104,900,552.58/10,802.76
  6. Step 6: Final answer
    x = 9,710.53

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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.