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Finding the Fourth Proportional to 8,492.86, 12,653.19 and 8,074.61

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Solution

The fourth proportional to 8,492.86, 12,653.19 and 8,074.61 is: 12,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.86 : 12,653.19 = 8,074.61 : x
  2. Step 2: Convert to fraction form
    8,492.86/12,653.19 = 8,074.61/x
  3. Step 3: Cross multiply
    8,492.86x = 12,653.19 × 8,074.61
  4. Step 4: Simplify right side
    8,492.86x = 102,169,574.51
  5. Step 5: Solve for x
    x = 102,169,574.51/8,492.86
  6. Step 6: Final answer
    x = 12,030.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.