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Finding the Fourth Proportional to 8,193.77, 12,270.47 and 4,675.08

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Solution

The fourth proportional to 8,193.77, 12,270.47 and 4,675.08 is: 7,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.77 : 12,270.47 = 4,675.08 : x
  2. Step 2: Convert to fraction form
    8,193.77/12,270.47 = 4,675.08/x
  3. Step 3: Cross multiply
    8,193.77x = 12,270.47 × 4,675.08
  4. Step 4: Simplify right side
    8,193.77x = 57,365,405.51
  5. Step 5: Solve for x
    x = 57,365,405.51/8,193.77
  6. Step 6: Final answer
    x = 7,001.10

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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.