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Finding the Fourth Proportional to 7,564.42, 11,346.61 and 2,017.77

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Solution

The fourth proportional to 7,564.42, 11,346.61 and 2,017.77 is: 3,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.42 : 11,346.61 = 2,017.77 : x
  2. Step 2: Convert to fraction form
    7,564.42/11,346.61 = 2,017.77/x
  3. Step 3: Cross multiply
    7,564.42x = 11,346.61 × 2,017.77
  4. Step 4: Simplify right side
    7,564.42x = 22,894,849.26
  5. Step 5: Solve for x
    x = 22,894,849.26/7,564.42
  6. Step 6: Final answer
    x = 3,026.65

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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.