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Finding the Fourth Proportional to 6,705.65, 10,045.11 and 5,237.93

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Solution

The fourth proportional to 6,705.65, 10,045.11 and 5,237.93 is: 7,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.65 : 10,045.11 = 5,237.93 : x
  2. Step 2: Convert to fraction form
    6,705.65/10,045.11 = 5,237.93/x
  3. Step 3: Cross multiply
    6,705.65x = 10,045.11 × 5,237.93
  4. Step 4: Simplify right side
    6,705.65x = 52,615,583.02
  5. Step 5: Solve for x
    x = 52,615,583.02/6,705.65
  6. Step 6: Final answer
    x = 7,846.46

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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.