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Finding the Fourth Proportional to 10,000.08, 13,798.08 and 7,349.76

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Solution

The fourth proportional to 10,000.08, 13,798.08 and 7,349.76 is: 10,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.08 : 13,798.08 = 7,349.76 : x
  2. Step 2: Convert to fraction form
    10,000.08/13,798.08 = 7,349.76/x
  3. Step 3: Cross multiply
    10,000.08x = 13,798.08 × 7,349.76
  4. Step 4: Simplify right side
    10,000.08x = 101,412,576.46
  5. Step 5: Solve for x
    x = 101,412,576.46/10,000.08
  6. Step 6: Final answer
    x = 10,141.18

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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.