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Finding the Fourth Proportional to 7,779.16, 10,735.50 and 4,242.57

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Solution

The fourth proportional to 7,779.16, 10,735.50 and 4,242.57 is: 5,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.16 : 10,735.50 = 4,242.57 : x
  2. Step 2: Convert to fraction form
    7,779.16/10,735.50 = 4,242.57/x
  3. Step 3: Cross multiply
    7,779.16x = 10,735.50 × 4,242.57
  4. Step 4: Simplify right side
    7,779.16x = 45,546,110.24
  5. Step 5: Solve for x
    x = 45,546,110.24/7,779.16
  6. Step 6: Final answer
    x = 5,854.89

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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.