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Finding the Fourth Proportional to 7,707.51, 11,564.16 and 4,589.31

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Solution

The fourth proportional to 7,707.51, 11,564.16 and 4,589.31 is: 6,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.51 : 11,564.16 = 4,589.31 : x
  2. Step 2: Convert to fraction form
    7,707.51/11,564.16 = 4,589.31/x
  3. Step 3: Cross multiply
    7,707.51x = 11,564.16 × 4,589.31
  4. Step 4: Simplify right side
    7,707.51x = 53,071,515.13
  5. Step 5: Solve for x
    x = 53,071,515.13/7,707.51
  6. Step 6: Final answer
    x = 6,885.69

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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.