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Finding the Fourth Proportional to 7,818.16, 10,786.04 and 4,828.86

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Solution

The fourth proportional to 7,818.16, 10,786.04 and 4,828.86 is: 6,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.16 : 10,786.04 = 4,828.86 : x
  2. Step 2: Convert to fraction form
    7,818.16/10,786.04 = 4,828.86/x
  3. Step 3: Cross multiply
    7,818.16x = 10,786.04 × 4,828.86
  4. Step 4: Simplify right side
    7,818.16x = 52,084,277.11
  5. Step 5: Solve for x
    x = 52,084,277.11/7,818.16
  6. Step 6: Final answer
    x = 6,661.96

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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.