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Finding the Fourth Proportional to 11,584.12, 15,980.19 and 7,328.01

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Solution

The fourth proportional to 11,584.12, 15,980.19 and 7,328.01 is: 10,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.12 : 15,980.19 = 7,328.01 : x
  2. Step 2: Convert to fraction form
    11,584.12/15,980.19 = 7,328.01/x
  3. Step 3: Cross multiply
    11,584.12x = 15,980.19 × 7,328.01
  4. Step 4: Simplify right side
    11,584.12x = 117,102,992.12
  5. Step 5: Solve for x
    x = 117,102,992.12/11,584.12
  6. Step 6: Final answer
    x = 10,108.92

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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.