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Finding the Fourth Proportional to 10,476.37, 15,704.08 and 5,798.49

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Solution

The fourth proportional to 10,476.37, 15,704.08 and 5,798.49 is: 8,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.37 : 15,704.08 = 5,798.49 : x
  2. Step 2: Convert to fraction form
    10,476.37/15,704.08 = 5,798.49/x
  3. Step 3: Cross multiply
    10,476.37x = 15,704.08 × 5,798.49
  4. Step 4: Simplify right side
    10,476.37x = 91,059,877.45
  5. Step 5: Solve for x
    x = 91,059,877.45/10,476.37
  6. Step 6: Final answer
    x = 8,691.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.