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Finding the Fourth Proportional to 10,307.89, 14,221.00 and 6,059.14

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Solution

The fourth proportional to 10,307.89, 14,221.00 and 6,059.14 is: 8,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.89 : 14,221.00 = 6,059.14 : x
  2. Step 2: Convert to fraction form
    10,307.89/14,221.00 = 6,059.14/x
  3. Step 3: Cross multiply
    10,307.89x = 14,221.00 × 6,059.14
  4. Step 4: Simplify right side
    10,307.89x = 86,167,001.96
  5. Step 5: Solve for x
    x = 86,167,001.96/10,307.89
  6. Step 6: Final answer
    x = 8,359.32

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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.