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Finding the Fourth Proportional to 10,056.61, 13,852.20 and 8,461.32

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Solution

The fourth proportional to 10,056.61, 13,852.20 and 8,461.32 is: 11,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.61 : 13,852.20 = 8,461.32 : x
  2. Step 2: Convert to fraction form
    10,056.61/13,852.20 = 8,461.32/x
  3. Step 3: Cross multiply
    10,056.61x = 13,852.20 × 8,461.32
  4. Step 4: Simplify right side
    10,056.61x = 117,207,896.90
  5. Step 5: Solve for x
    x = 117,207,896.90/10,056.61
  6. Step 6: Final answer
    x = 11,654.81

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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.