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Finding the Fourth Proportional to 7,652.71, 11,415.50 and 7,525.85

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Solution

The fourth proportional to 7,652.71, 11,415.50 and 7,525.85 is: 11,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.71 : 11,415.50 = 7,525.85 : x
  2. Step 2: Convert to fraction form
    7,652.71/11,415.50 = 7,525.85/x
  3. Step 3: Cross multiply
    7,652.71x = 11,415.50 × 7,525.85
  4. Step 4: Simplify right side
    7,652.71x = 85,911,274.19
  5. Step 5: Solve for x
    x = 85,911,274.19/7,652.71
  6. Step 6: Final answer
    x = 11,226.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.