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Finding the Fourth Proportional to 8,204.54, 12,319.11 and 4,698.51

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Solution

The fourth proportional to 8,204.54, 12,319.11 and 4,698.51 is: 7,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.54 : 12,319.11 = 4,698.51 : x
  2. Step 2: Convert to fraction form
    8,204.54/12,319.11 = 4,698.51/x
  3. Step 3: Cross multiply
    8,204.54x = 12,319.11 × 4,698.51
  4. Step 4: Simplify right side
    8,204.54x = 57,881,461.53
  5. Step 5: Solve for x
    x = 57,881,461.53/8,204.54
  6. Step 6: Final answer
    x = 7,054.81

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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.