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Finding the Fourth Proportional to 8,561.84, 12,851.48 and 4,612.93

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Solution

The fourth proportional to 8,561.84, 12,851.48 and 4,612.93 is: 6,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.84 : 12,851.48 = 4,612.93 : x
  2. Step 2: Convert to fraction form
    8,561.84/12,851.48 = 4,612.93/x
  3. Step 3: Cross multiply
    8,561.84x = 12,851.48 × 4,612.93
  4. Step 4: Simplify right side
    8,561.84x = 59,282,913.38
  5. Step 5: Solve for x
    x = 59,282,913.38/8,561.84
  6. Step 6: Final answer
    x = 6,924.09

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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.