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Finding the Fourth Proportional to 7,459.29, 11,191.37 and 3,564

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Solution

The fourth proportional to 7,459.29, 11,191.37 and 3,564 is: 5,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.29 : 11,191.37 = 3,564 : x
  2. Step 2: Convert to fraction form
    7,459.29/11,191.37 = 3,564/x
  3. Step 3: Cross multiply
    7,459.29x = 11,191.37 × 3,564
  4. Step 4: Simplify right side
    7,459.29x = 39,886,024.86
  5. Step 5: Solve for x
    x = 39,886,024.86/7,459.29
  6. Step 6: Final answer
    x = 5,347.16

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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.