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Finding the Fourth Proportional to 7,703.29, 11,547.93 and 4,001.18

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Solution

The fourth proportional to 7,703.29, 11,547.93 and 4,001.18 is: 5,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.29 : 11,547.93 = 4,001.18 : x
  2. Step 2: Convert to fraction form
    7,703.29/11,547.93 = 4,001.18/x
  3. Step 3: Cross multiply
    7,703.29x = 11,547.93 × 4,001.18
  4. Step 4: Simplify right side
    7,703.29x = 46,205,346.56
  5. Step 5: Solve for x
    x = 46,205,346.56/7,703.29
  6. Step 6: Final answer
    x = 5,998.14

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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.