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Finding the Fourth Proportional to 7,779.54, 10,735.56 and 4,242.82

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Solution

The fourth proportional to 7,779.54, 10,735.56 and 4,242.82 is: 5,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.54 : 10,735.56 = 4,242.82 : x
  2. Step 2: Convert to fraction form
    7,779.54/10,735.56 = 4,242.82/x
  3. Step 3: Cross multiply
    7,779.54x = 10,735.56 × 4,242.82
  4. Step 4: Simplify right side
    7,779.54x = 45,549,048.68
  5. Step 5: Solve for x
    x = 45,549,048.68/7,779.54
  6. Step 6: Final answer
    x = 5,854.98

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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.