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Finding the Fourth Proportional to 10,356.01, 14,291.55 and 5,880.31

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Solution

The fourth proportional to 10,356.01, 14,291.55 and 5,880.31 is: 8,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.01 : 14,291.55 = 5,880.31 : x
  2. Step 2: Convert to fraction form
    10,356.01/14,291.55 = 5,880.31/x
  3. Step 3: Cross multiply
    10,356.01x = 14,291.55 × 5,880.31
  4. Step 4: Simplify right side
    10,356.01x = 84,038,708.65
  5. Step 5: Solve for x
    x = 84,038,708.65/10,356.01
  6. Step 6: Final answer
    x = 8,114.97

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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.