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Finding the Fourth Proportional to 7,705.53, 11,543.34 and 5,065.03

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Solution

The fourth proportional to 7,705.53, 11,543.34 and 5,065.03 is: 7,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.53 : 11,543.34 = 5,065.03 : x
  2. Step 2: Convert to fraction form
    7,705.53/11,543.34 = 5,065.03/x
  3. Step 3: Cross multiply
    7,705.53x = 11,543.34 × 5,065.03
  4. Step 4: Simplify right side
    7,705.53x = 58,467,363.40
  5. Step 5: Solve for x
    x = 58,467,363.40/7,705.53
  6. Step 6: Final answer
    x = 7,587.71

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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.