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Finding the Fourth Proportional to 10,147.84, 14,004.56 and 5,671.70

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Solution

The fourth proportional to 10,147.84, 14,004.56 and 5,671.70 is: 7,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.84 : 14,004.56 = 5,671.70 : x
  2. Step 2: Convert to fraction form
    10,147.84/14,004.56 = 5,671.70/x
  3. Step 3: Cross multiply
    10,147.84x = 14,004.56 × 5,671.70
  4. Step 4: Simplify right side
    10,147.84x = 79,429,662.95
  5. Step 5: Solve for x
    x = 79,429,662.95/10,147.84
  6. Step 6: Final answer
    x = 7,827.25

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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.