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Finding the Fourth Proportional to 7,705.66, 11,557.23 and 3,545.50

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Solution

The fourth proportional to 7,705.66, 11,557.23 and 3,545.50 is: 5,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.66 : 11,557.23 = 3,545.50 : x
  2. Step 2: Convert to fraction form
    7,705.66/11,557.23 = 3,545.50/x
  3. Step 3: Cross multiply
    7,705.66x = 11,557.23 × 3,545.50
  4. Step 4: Simplify right side
    7,705.66x = 40,976,158.97
  5. Step 5: Solve for x
    x = 40,976,158.97/7,705.66
  6. Step 6: Final answer
    x = 5,317.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.