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Finding the Fourth Proportional to 10,589.15, 15,883.86 and 7,301.36

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Solution

The fourth proportional to 10,589.15, 15,883.86 and 7,301.36 is: 10,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.15 : 15,883.86 = 7,301.36 : x
  2. Step 2: Convert to fraction form
    10,589.15/15,883.86 = 7,301.36/x
  3. Step 3: Cross multiply
    10,589.15x = 15,883.86 × 7,301.36
  4. Step 4: Simplify right side
    10,589.15x = 115,973,700.63
  5. Step 5: Solve for x
    x = 115,973,700.63/10,589.15
  6. Step 6: Final answer
    x = 10,952.13

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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.