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Finding the Fourth Proportional to 10,708.83, 14,782.82 and 8,056.89

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Solution

The fourth proportional to 10,708.83, 14,782.82 and 8,056.89 is: 11,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.83 : 14,782.82 = 8,056.89 : x
  2. Step 2: Convert to fraction form
    10,708.83/14,782.82 = 8,056.89/x
  3. Step 3: Cross multiply
    10,708.83x = 14,782.82 × 8,056.89
  4. Step 4: Simplify right side
    10,708.83x = 119,103,554.63
  5. Step 5: Solve for x
    x = 119,103,554.63/10,708.83
  6. Step 6: Final answer
    x = 11,122.00

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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.