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Finding the Fourth Proportional to 7,814.19, 10,779.84 and 4,828.94

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Solution

The fourth proportional to 7,814.19, 10,779.84 and 4,828.94 is: 6,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.19 : 10,779.84 = 4,828.94 : x
  2. Step 2: Convert to fraction form
    7,814.19/10,779.84 = 4,828.94/x
  3. Step 3: Cross multiply
    7,814.19x = 10,779.84 × 4,828.94
  4. Step 4: Simplify right side
    7,814.19x = 52,055,146.67
  5. Step 5: Solve for x
    x = 52,055,146.67/7,814.19
  6. Step 6: Final answer
    x = 6,661.62

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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.