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Finding the Fourth Proportional to 8,192.60, 12,290.73 and 4,492.93

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Solution

The fourth proportional to 8,192.60, 12,290.73 and 4,492.93 is: 6,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.60 : 12,290.73 = 4,492.93 : x
  2. Step 2: Convert to fraction form
    8,192.60/12,290.73 = 4,492.93/x
  3. Step 3: Cross multiply
    8,192.60x = 12,290.73 × 4,492.93
  4. Step 4: Simplify right side
    8,192.60x = 55,221,389.54
  5. Step 5: Solve for x
    x = 55,221,389.54/8,192.60
  6. Step 6: Final answer
    x = 6,740.40

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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.