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Finding the Fourth Proportional to 7,646.25, 10,556.97 and 4,779.33

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Solution

The fourth proportional to 7,646.25, 10,556.97 and 4,779.33 is: 6,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.25 : 10,556.97 = 4,779.33 : x
  2. Step 2: Convert to fraction form
    7,646.25/10,556.97 = 4,779.33/x
  3. Step 3: Cross multiply
    7,646.25x = 10,556.97 × 4,779.33
  4. Step 4: Simplify right side
    7,646.25x = 50,455,243.43
  5. Step 5: Solve for x
    x = 50,455,243.43/7,646.25
  6. Step 6: Final answer
    x = 6,598.69

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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.