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Finding the Fourth Proportional to 10,356.25, 14,291.79 and 5,880.12

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Solution

The fourth proportional to 10,356.25, 14,291.79 and 5,880.12 is: 8,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.25 : 14,291.79 = 5,880.12 : x
  2. Step 2: Convert to fraction form
    10,356.25/14,291.79 = 5,880.12/x
  3. Step 3: Cross multiply
    10,356.25x = 14,291.79 × 5,880.12
  4. Step 4: Simplify right side
    10,356.25x = 84,037,440.21
  5. Step 5: Solve for x
    x = 84,037,440.21/10,356.25
  6. Step 6: Final answer
    x = 8,114.66

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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.