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Finding the Fourth Proportional to 8,525.93, 11,762.54 and 6,293.14

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Solution

The fourth proportional to 8,525.93, 11,762.54 and 6,293.14 is: 8,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.93 : 11,762.54 = 6,293.14 : x
  2. Step 2: Convert to fraction form
    8,525.93/11,762.54 = 6,293.14/x
  3. Step 3: Cross multiply
    8,525.93x = 11,762.54 × 6,293.14
  4. Step 4: Simplify right side
    8,525.93x = 74,023,250.10
  5. Step 5: Solve for x
    x = 74,023,250.10/8,525.93
  6. Step 6: Final answer
    x = 8,682.13

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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.