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Finding the Fourth Proportional to 10,713.96, 14,789.15 and 8,721.06

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Solution

The fourth proportional to 10,713.96, 14,789.15 and 8,721.06 is: 12,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.96 : 14,789.15 = 8,721.06 : x
  2. Step 2: Convert to fraction form
    10,713.96/14,789.15 = 8,721.06/x
  3. Step 3: Cross multiply
    10,713.96x = 14,789.15 × 8,721.06
  4. Step 4: Simplify right side
    10,713.96x = 128,977,064.50
  5. Step 5: Solve for x
    x = 128,977,064.50/10,713.96
  6. Step 6: Final answer
    x = 12,038.23

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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.