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Finding the Fourth Proportional to 7,812.65, 10,779.33 and 4,454.24

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Solution

The fourth proportional to 7,812.65, 10,779.33 and 4,454.24 is: 6,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.65 : 10,779.33 = 4,454.24 : x
  2. Step 2: Convert to fraction form
    7,812.65/10,779.33 = 4,454.24/x
  3. Step 3: Cross multiply
    7,812.65x = 10,779.33 × 4,454.24
  4. Step 4: Simplify right side
    7,812.65x = 48,013,721.24
  5. Step 5: Solve for x
    x = 48,013,721.24/7,812.65
  6. Step 6: Final answer
    x = 6,145.64

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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.