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Finding the Fourth Proportional to 7,670.09, 11,513.67 and 3,971.32

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Solution

The fourth proportional to 7,670.09, 11,513.67 and 3,971.32 is: 5,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.09 : 11,513.67 = 3,971.32 : x
  2. Step 2: Convert to fraction form
    7,670.09/11,513.67 = 3,971.32/x
  3. Step 3: Cross multiply
    7,670.09x = 11,513.67 × 3,971.32
  4. Step 4: Simplify right side
    7,670.09x = 45,724,482.34
  5. Step 5: Solve for x
    x = 45,724,482.34/7,670.09
  6. Step 6: Final answer
    x = 5,961.40

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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.