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Finding the Fourth Proportional to 7,802.46, 11,703.83 and 3,641.34

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Solution

The fourth proportional to 7,802.46, 11,703.83 and 3,641.34 is: 5,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.46 : 11,703.83 = 3,641.34 : x
  2. Step 2: Convert to fraction form
    7,802.46/11,703.83 = 3,641.34/x
  3. Step 3: Cross multiply
    7,802.46x = 11,703.83 × 3,641.34
  4. Step 4: Simplify right side
    7,802.46x = 42,617,624.33
  5. Step 5: Solve for x
    x = 42,617,624.33/7,802.46
  6. Step 6: Final answer
    x = 5,462.08

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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.