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Finding the Fourth Proportional to 10,260.90, 14,160.22 and 6,014.48

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Solution

The fourth proportional to 10,260.90, 14,160.22 and 6,014.48 is: 8,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.90 : 14,160.22 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    10,260.90/14,160.22 = 6,014.48/x
  3. Step 3: Cross multiply
    10,260.90x = 14,160.22 × 6,014.48
  4. Step 4: Simplify right side
    10,260.90x = 85,166,274.15
  5. Step 5: Solve for x
    x = 85,166,274.15/10,260.90
  6. Step 6: Final answer
    x = 8,300.08

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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.