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Finding the Fourth Proportional to 10,830.02, 14,955.84 and 8,446.59

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Solution

The fourth proportional to 10,830.02, 14,955.84 and 8,446.59 is: 11,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.02 : 14,955.84 = 8,446.59 : x
  2. Step 2: Convert to fraction form
    10,830.02/14,955.84 = 8,446.59/x
  3. Step 3: Cross multiply
    10,830.02x = 14,955.84 × 8,446.59
  4. Step 4: Simplify right side
    10,830.02x = 126,325,848.59
  5. Step 5: Solve for x
    x = 126,325,848.59/10,830.02
  6. Step 6: Final answer
    x = 11,664.42

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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.