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Finding the Fourth Proportional to 10,802.75, 14,907.16 and 6,022.53

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Solution

The fourth proportional to 10,802.75, 14,907.16 and 6,022.53 is: 8,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.75 : 14,907.16 = 6,022.53 : x
  2. Step 2: Convert to fraction form
    10,802.75/14,907.16 = 6,022.53/x
  3. Step 3: Cross multiply
    10,802.75x = 14,907.16 × 6,022.53
  4. Step 4: Simplify right side
    10,802.75x = 89,778,803.26
  5. Step 5: Solve for x
    x = 89,778,803.26/10,802.75
  6. Step 6: Final answer
    x = 8,310.74

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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.