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Finding the Fourth Proportional to 7,202.84, 10,807.40 and 2,526.20

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Solution

The fourth proportional to 7,202.84, 10,807.40 and 2,526.20 is: 3,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.84 : 10,807.40 = 2,526.20 : x
  2. Step 2: Convert to fraction form
    7,202.84/10,807.40 = 2,526.20/x
  3. Step 3: Cross multiply
    7,202.84x = 10,807.40 × 2,526.20
  4. Step 4: Simplify right side
    7,202.84x = 27,301,653.88
  5. Step 5: Solve for x
    x = 27,301,653.88/7,202.84
  6. Step 6: Final answer
    x = 3,790.40

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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.