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Finding the Fourth Proportional to 10,386.70, 14,333.94 and 5,671.28

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Solution

The fourth proportional to 10,386.70, 14,333.94 and 5,671.28 is: 7,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.70 : 14,333.94 = 5,671.28 : x
  2. Step 2: Convert to fraction form
    10,386.70/14,333.94 = 5,671.28/x
  3. Step 3: Cross multiply
    10,386.70x = 14,333.94 × 5,671.28
  4. Step 4: Simplify right side
    10,386.70x = 81,291,787.24
  5. Step 5: Solve for x
    x = 81,291,787.24/10,386.70
  6. Step 6: Final answer
    x = 7,826.53

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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.