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Finding the Fourth Proportional to 8,362.12, 11,547.54 and 5,383.13

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Solution

The fourth proportional to 8,362.12, 11,547.54 and 5,383.13 is: 7,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.12 : 11,547.54 = 5,383.13 : x
  2. Step 2: Convert to fraction form
    8,362.12/11,547.54 = 5,383.13/x
  3. Step 3: Cross multiply
    8,362.12x = 11,547.54 × 5,383.13
  4. Step 4: Simplify right side
    8,362.12x = 62,161,909.00
  5. Step 5: Solve for x
    x = 62,161,909.00/8,362.12
  6. Step 6: Final answer
    x = 7,433.75

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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.