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Finding the Fourth Proportional to 10,356.02, 14,291.07 and 5,640.20

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Solution

The fourth proportional to 10,356.02, 14,291.07 and 5,640.20 is: 7,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.02 : 14,291.07 = 5,640.20 : x
  2. Step 2: Convert to fraction form
    10,356.02/14,291.07 = 5,640.20/x
  3. Step 3: Cross multiply
    10,356.02x = 14,291.07 × 5,640.20
  4. Step 4: Simplify right side
    10,356.02x = 80,604,493.01
  5. Step 5: Solve for x
    x = 80,604,493.01/10,356.02
  6. Step 6: Final answer
    x = 7,783.35

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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.