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Finding the Fourth Proportional to 7,814.75, 10,784.09 and 4,458.65

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Solution

The fourth proportional to 7,814.75, 10,784.09 and 4,458.65 is: 6,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.75 : 10,784.09 = 4,458.65 : x
  2. Step 2: Convert to fraction form
    7,814.75/10,784.09 = 4,458.65/x
  3. Step 3: Cross multiply
    7,814.75x = 10,784.09 × 4,458.65
  4. Step 4: Simplify right side
    7,814.75x = 48,082,482.88
  5. Step 5: Solve for x
    x = 48,082,482.88/7,814.75
  6. Step 6: Final answer
    x = 6,152.79

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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.