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Finding the Fourth Proportional to 11,434.29, 15,780.72 and 6,958.50

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Solution

The fourth proportional to 11,434.29, 15,780.72 and 6,958.50 is: 9,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.29 : 15,780.72 = 6,958.50 : x
  2. Step 2: Convert to fraction form
    11,434.29/15,780.72 = 6,958.50/x
  3. Step 3: Cross multiply
    11,434.29x = 15,780.72 × 6,958.50
  4. Step 4: Simplify right side
    11,434.29x = 109,810,140.12
  5. Step 5: Solve for x
    x = 109,810,140.12/11,434.29
  6. Step 6: Final answer
    x = 9,603.58

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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.