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Finding the Fourth Proportional to 10,348.56, 14,285.16 and 6,156

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Solution

The fourth proportional to 10,348.56, 14,285.16 and 6,156 is: 8,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.56 : 14,285.16 = 6,156 : x
  2. Step 2: Convert to fraction form
    10,348.56/14,285.16 = 6,156/x
  3. Step 3: Cross multiply
    10,348.56x = 14,285.16 × 6,156
  4. Step 4: Simplify right side
    10,348.56x = 87,939,444.96
  5. Step 5: Solve for x
    x = 87,939,444.96/10,348.56
  6. Step 6: Final answer
    x = 8,497.75

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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.