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Finding the Fourth Proportional to 7,812.10, 10,785.73 and 6,971.36

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Solution

The fourth proportional to 7,812.10, 10,785.73 and 6,971.36 is: 9,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.10 : 10,785.73 = 6,971.36 : x
  2. Step 2: Convert to fraction form
    7,812.10/10,785.73 = 6,971.36/x
  3. Step 3: Cross multiply
    7,812.10x = 10,785.73 × 6,971.36
  4. Step 4: Simplify right side
    7,812.10x = 75,191,148.41
  5. Step 5: Solve for x
    x = 75,191,148.41/7,812.10
  6. Step 6: Final answer
    x = 9,624.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.