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Finding the Fourth Proportional to 10,802.62, 16,201.86 and 4,560.58

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Solution

The fourth proportional to 10,802.62, 16,201.86 and 4,560.58 is: 6,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.62 : 16,201.86 = 4,560.58 : x
  2. Step 2: Convert to fraction form
    10,802.62/16,201.86 = 4,560.58/x
  3. Step 3: Cross multiply
    10,802.62x = 16,201.86 × 4,560.58
  4. Step 4: Simplify right side
    10,802.62x = 73,889,878.68
  5. Step 5: Solve for x
    x = 73,889,878.68/10,802.62
  6. Step 6: Final answer
    x = 6,840.00

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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.