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Finding the Fourth Proportional to 7,851.86, 10,835.63 and 4,266.81

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Solution

The fourth proportional to 7,851.86, 10,835.63 and 4,266.81 is: 5,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.86 : 10,835.63 = 4,266.81 : x
  2. Step 2: Convert to fraction form
    7,851.86/10,835.63 = 4,266.81/x
  3. Step 3: Cross multiply
    7,851.86x = 10,835.63 × 4,266.81
  4. Step 4: Simplify right side
    7,851.86x = 46,233,609.74
  5. Step 5: Solve for x
    x = 46,233,609.74/7,851.86
  6. Step 6: Final answer
    x = 5,888.24

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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.