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Finding the Fourth Proportional to 10,533.96, 15,794.83 and 4,987.26

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Solution

The fourth proportional to 10,533.96, 15,794.83 and 4,987.26 is: 7,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.96 : 15,794.83 = 4,987.26 : x
  2. Step 2: Convert to fraction form
    10,533.96/15,794.83 = 4,987.26/x
  3. Step 3: Cross multiply
    10,533.96x = 15,794.83 × 4,987.26
  4. Step 4: Simplify right side
    10,533.96x = 78,772,949.58
  5. Step 5: Solve for x
    x = 78,772,949.58/10,533.96
  6. Step 6: Final answer
    x = 7,478.00

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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.