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Finding the Fourth Proportional to 8,352.84, 12,526.17 and 2,507.46

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Solution

The fourth proportional to 8,352.84, 12,526.17 and 2,507.46 is: 3,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.84 : 12,526.17 = 2,507.46 : x
  2. Step 2: Convert to fraction form
    8,352.84/12,526.17 = 2,507.46/x
  3. Step 3: Cross multiply
    8,352.84x = 12,526.17 × 2,507.46
  4. Step 4: Simplify right side
    8,352.84x = 31,408,870.23
  5. Step 5: Solve for x
    x = 31,408,870.23/8,352.84
  6. Step 6: Final answer
    x = 3,760.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.