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Finding the Fourth Proportional to 7,720.53, 11,582.01 and 2,526

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Solution

The fourth proportional to 7,720.53, 11,582.01 and 2,526 is: 3,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.53 : 11,582.01 = 2,526 : x
  2. Step 2: Convert to fraction form
    7,720.53/11,582.01 = 2,526/x
  3. Step 3: Cross multiply
    7,720.53x = 11,582.01 × 2,526
  4. Step 4: Simplify right side
    7,720.53x = 29,256,157.26
  5. Step 5: Solve for x
    x = 29,256,157.26/7,720.53
  6. Step 6: Final answer
    x = 3,789.40

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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.