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Finding the Fourth Proportional to 10,830.88, 14,903.22 and 8,311.96

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Solution

The fourth proportional to 10,830.88, 14,903.22 and 8,311.96 is: 11,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.88 : 14,903.22 = 8,311.96 : x
  2. Step 2: Convert to fraction form
    10,830.88/14,903.22 = 8,311.96/x
  3. Step 3: Cross multiply
    10,830.88x = 14,903.22 × 8,311.96
  4. Step 4: Simplify right side
    10,830.88x = 123,874,968.51
  5. Step 5: Solve for x
    x = 123,874,968.51/10,830.88
  6. Step 6: Final answer
    x = 11,437.20

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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.