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Finding the Fourth Proportional to 7,564.59, 11,349.72 and 3,403.35

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Solution

The fourth proportional to 7,564.59, 11,349.72 and 3,403.35 is: 5,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.59 : 11,349.72 = 3,403.35 : x
  2. Step 2: Convert to fraction form
    7,564.59/11,349.72 = 3,403.35/x
  3. Step 3: Cross multiply
    7,564.59x = 11,349.72 × 3,403.35
  4. Step 4: Simplify right side
    7,564.59x = 38,627,069.56
  5. Step 5: Solve for x
    x = 38,627,069.56/7,564.59
  6. Step 6: Final answer
    x = 5,106.30

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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.