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Finding the Fourth Proportional to 10,356.93, 14,292.09 and 5,880.06

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Solution

The fourth proportional to 10,356.93, 14,292.09 and 5,880.06 is: 8,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.93 : 14,292.09 = 5,880.06 : x
  2. Step 2: Convert to fraction form
    10,356.93/14,292.09 = 5,880.06/x
  3. Step 3: Cross multiply
    10,356.93x = 14,292.09 × 5,880.06
  4. Step 4: Simplify right side
    10,356.93x = 84,038,346.73
  5. Step 5: Solve for x
    x = 84,038,346.73/10,356.93
  6. Step 6: Final answer
    x = 8,114.21

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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.