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Finding the Fourth Proportional to 10,712.96, 14,787.77 and 8,720.06

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Solution

The fourth proportional to 10,712.96, 14,787.77 and 8,720.06 is: 12,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.96 : 14,787.77 = 8,720.06 : x
  2. Step 2: Convert to fraction form
    10,712.96/14,787.77 = 8,720.06/x
  3. Step 3: Cross multiply
    10,712.96x = 14,787.77 × 8,720.06
  4. Step 4: Simplify right side
    10,712.96x = 128,950,124.13
  5. Step 5: Solve for x
    x = 128,950,124.13/10,712.96
  6. Step 6: Final answer
    x = 12,036.84

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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.