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Finding the Fourth Proportional to 12,862.79, 17,740.64 and 8,612.50

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Solution

The fourth proportional to 12,862.79, 17,740.64 and 8,612.50 is: 11,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.79 : 17,740.64 = 8,612.50 : x
  2. Step 2: Convert to fraction form
    12,862.79/17,740.64 = 8,612.50/x
  3. Step 3: Cross multiply
    12,862.79x = 17,740.64 × 8,612.50
  4. Step 4: Simplify right side
    12,862.79x = 152,791,218.94
  5. Step 5: Solve for x
    x = 152,791,218.94/12,862.79
  6. Step 6: Final answer
    x = 11,878.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.