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Finding the Fourth Proportional to 7,815.76, 10,779.84 and 4,984

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Solution

The fourth proportional to 7,815.76, 10,779.84 and 4,984 is: 6,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.76 : 10,779.84 = 4,984 : x
  2. Step 2: Convert to fraction form
    7,815.76/10,779.84 = 4,984/x
  3. Step 3: Cross multiply
    7,815.76x = 10,779.84 × 4,984
  4. Step 4: Simplify right side
    7,815.76x = 53,726,722.56
  5. Step 5: Solve for x
    x = 53,726,722.56/7,815.76
  6. Step 6: Final answer
    x = 6,874.15

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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.