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Finding the Fourth Proportional to 10,827.90, 14,940.99 and 6,047.64

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Solution

The fourth proportional to 10,827.90, 14,940.99 and 6,047.64 is: 8,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.90 : 14,940.99 = 6,047.64 : x
  2. Step 2: Convert to fraction form
    10,827.90/14,940.99 = 6,047.64/x
  3. Step 3: Cross multiply
    10,827.90x = 14,940.99 × 6,047.64
  4. Step 4: Simplify right side
    10,827.90x = 90,357,728.76
  5. Step 5: Solve for x
    x = 90,357,728.76/10,827.90
  6. Step 6: Final answer
    x = 8,344.90

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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.