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Finding the Fourth Proportional to 6,705.74, 10,065.62 and 4,952.72

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Solution

The fourth proportional to 6,705.74, 10,065.62 and 4,952.72 is: 7,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.74 : 10,065.62 = 4,952.72 : x
  2. Step 2: Convert to fraction form
    6,705.74/10,065.62 = 4,952.72/x
  3. Step 3: Cross multiply
    6,705.74x = 10,065.62 × 4,952.72
  4. Step 4: Simplify right side
    6,705.74x = 49,852,235.03
  5. Step 5: Solve for x
    x = 49,852,235.03/6,705.74
  6. Step 6: Final answer
    x = 7,434.26

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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.