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Finding the Fourth Proportional to 7,779.30, 10,735.01 and 4,421.65

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Solution

The fourth proportional to 7,779.30, 10,735.01 and 4,421.65 is: 6,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.30 : 10,735.01 = 4,421.65 : x
  2. Step 2: Convert to fraction form
    7,779.30/10,735.01 = 4,421.65/x
  3. Step 3: Cross multiply
    7,779.30x = 10,735.01 × 4,421.65
  4. Step 4: Simplify right side
    7,779.30x = 47,466,481.44
  5. Step 5: Solve for x
    x = 47,466,481.44/7,779.30
  6. Step 6: Final answer
    x = 6,101.64

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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.