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Finding the Fourth Proportional to 10,645.67, 15,974.66 and 4,802.28

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Solution

The fourth proportional to 10,645.67, 15,974.66 and 4,802.28 is: 7,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.67 : 15,974.66 = 4,802.28 : x
  2. Step 2: Convert to fraction form
    10,645.67/15,974.66 = 4,802.28/x
  3. Step 3: Cross multiply
    10,645.67x = 15,974.66 × 4,802.28
  4. Step 4: Simplify right side
    10,645.67x = 76,714,790.22
  5. Step 5: Solve for x
    x = 76,714,790.22/10,645.67
  6. Step 6: Final answer
    x = 7,206.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.