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Finding the Fourth Proportional to 7,693.29, 11,547.18 and 3,998.16

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Solution

The fourth proportional to 7,693.29, 11,547.18 and 3,998.16 is: 6,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.29 : 11,547.18 = 3,998.16 : x
  2. Step 2: Convert to fraction form
    7,693.29/11,547.18 = 3,998.16/x
  3. Step 3: Cross multiply
    7,693.29x = 11,547.18 × 3,998.16
  4. Step 4: Simplify right side
    7,693.29x = 46,167,473.19
  5. Step 5: Solve for x
    x = 46,167,473.19/7,693.29
  6. Step 6: Final answer
    x = 6,001.01

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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.