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Finding the Fourth Proportional to 10,302.02, 14,222.30 and 8,059.13

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Solution

The fourth proportional to 10,302.02, 14,222.30 and 8,059.13 is: 11,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.02 : 14,222.30 = 8,059.13 : x
  2. Step 2: Convert to fraction form
    10,302.02/14,222.30 = 8,059.13/x
  3. Step 3: Cross multiply
    10,302.02x = 14,222.30 × 8,059.13
  4. Step 4: Simplify right side
    10,302.02x = 114,619,253.19
  5. Step 5: Solve for x
    x = 114,619,253.19/10,302.02
  6. Step 6: Final answer
    x = 11,125.91

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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.