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Finding the Fourth Proportional to 10,254.95, 14,152.34 and 6,274.88

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Solution

The fourth proportional to 10,254.95, 14,152.34 and 6,274.88 is: 8,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.95 : 14,152.34 = 6,274.88 : x
  2. Step 2: Convert to fraction form
    10,254.95/14,152.34 = 6,274.88/x
  3. Step 3: Cross multiply
    10,254.95x = 14,152.34 × 6,274.88
  4. Step 4: Simplify right side
    10,254.95x = 88,804,180.14
  5. Step 5: Solve for x
    x = 88,804,180.14/10,254.95
  6. Step 6: Final answer
    x = 8,659.64

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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.