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Finding the Fourth Proportional to 10,356.23, 14,291.17 and 5,880.23

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Solution

The fourth proportional to 10,356.23, 14,291.17 and 5,880.23 is: 8,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.23 : 14,291.17 = 5,880.23 : x
  2. Step 2: Convert to fraction form
    10,356.23/14,291.17 = 5,880.23/x
  3. Step 3: Cross multiply
    10,356.23x = 14,291.17 × 5,880.23
  4. Step 4: Simplify right side
    10,356.23x = 84,035,387.60
  5. Step 5: Solve for x
    x = 84,035,387.60/10,356.23
  6. Step 6: Final answer
    x = 8,114.47

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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.