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Finding the Fourth Proportional to 8,987.50, 13,483.66 and 5,094.64

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Solution

The fourth proportional to 8,987.50, 13,483.66 and 5,094.64 is: 7,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,987.50 : 13,483.66 = 5,094.64 : x
  2. Step 2: Convert to fraction form
    8,987.50/13,483.66 = 5,094.64/x
  3. Step 3: Cross multiply
    8,987.50x = 13,483.66 × 5,094.64
  4. Step 4: Simplify right side
    8,987.50x = 68,694,393.58
  5. Step 5: Solve for x
    x = 68,694,393.58/8,987.50
  6. Step 6: Final answer
    x = 7,643.33

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Why These Related Problems?

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