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Finding the Fourth Proportional to 7,779.12, 10,734.75 and 4,421.46

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Solution

The fourth proportional to 7,779.12, 10,734.75 and 4,421.46 is: 6,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.12 : 10,734.75 = 4,421.46 : x
  2. Step 2: Convert to fraction form
    7,779.12/10,734.75 = 4,421.46/x
  3. Step 3: Cross multiply
    7,779.12x = 10,734.75 × 4,421.46
  4. Step 4: Simplify right side
    7,779.12x = 47,463,324.57
  5. Step 5: Solve for x
    x = 47,463,324.57/7,779.12
  6. Step 6: Final answer
    x = 6,101.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.