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Finding the Fourth Proportional to 8,503.36, 12,762.80 and 4,346.25

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Solution

The fourth proportional to 8,503.36, 12,762.80 and 4,346.25 is: 6,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.36 : 12,762.80 = 4,346.25 : x
  2. Step 2: Convert to fraction form
    8,503.36/12,762.80 = 4,346.25/x
  3. Step 3: Cross multiply
    8,503.36x = 12,762.80 × 4,346.25
  4. Step 4: Simplify right side
    8,503.36x = 55,470,319.50
  5. Step 5: Solve for x
    x = 55,470,319.50/8,503.36
  6. Step 6: Final answer
    x = 6,523.34

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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.