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Finding the Fourth Proportional to 10,170.84, 14,025.06 and 7,523.76

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Solution

The fourth proportional to 10,170.84, 14,025.06 and 7,523.76 is: 10,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.84 : 14,025.06 = 7,523.76 : x
  2. Step 2: Convert to fraction form
    10,170.84/14,025.06 = 7,523.76/x
  3. Step 3: Cross multiply
    10,170.84x = 14,025.06 × 7,523.76
  4. Step 4: Simplify right side
    10,170.84x = 105,521,185.43
  5. Step 5: Solve for x
    x = 105,521,185.43/10,170.84
  6. Step 6: Final answer
    x = 10,374.87

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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.