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Finding the Fourth Proportional to 7,164.06, 10,740.69 and 4,699.50

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Solution

The fourth proportional to 7,164.06, 10,740.69 and 4,699.50 is: 7,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.06 : 10,740.69 = 4,699.50 : x
  2. Step 2: Convert to fraction form
    7,164.06/10,740.69 = 4,699.50/x
  3. Step 3: Cross multiply
    7,164.06x = 10,740.69 × 4,699.50
  4. Step 4: Simplify right side
    7,164.06x = 50,475,872.66
  5. Step 5: Solve for x
    x = 50,475,872.66/7,164.06
  6. Step 6: Final answer
    x = 7,045.71

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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.