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Finding the Fourth Proportional to 10,740.42, 14,828.67 and 8,755.74

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Solution

The fourth proportional to 10,740.42, 14,828.67 and 8,755.74 is: 12,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.42 : 14,828.67 = 8,755.74 : x
  2. Step 2: Convert to fraction form
    10,740.42/14,828.67 = 8,755.74/x
  3. Step 3: Cross multiply
    10,740.42x = 14,828.67 × 8,755.74
  4. Step 4: Simplify right side
    10,740.42x = 129,835,979.07
  5. Step 5: Solve for x
    x = 129,835,979.07/10,740.42
  6. Step 6: Final answer
    x = 12,088.54

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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.