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Finding the Fourth Proportional to 7,745.51, 10,688.87 and 4,208.72

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Solution

The fourth proportional to 7,745.51, 10,688.87 and 4,208.72 is: 5,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.51 : 10,688.87 = 4,208.72 : x
  2. Step 2: Convert to fraction form
    7,745.51/10,688.87 = 4,208.72/x
  3. Step 3: Cross multiply
    7,745.51x = 10,688.87 × 4,208.72
  4. Step 4: Simplify right side
    7,745.51x = 44,986,498.19
  5. Step 5: Solve for x
    x = 44,986,498.19/7,745.51
  6. Step 6: Final answer
    x = 5,808.07

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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.