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Finding the Fourth Proportional to 10,508.14, 15,743.67 and 9,364.06

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Solution

The fourth proportional to 10,508.14, 15,743.67 and 9,364.06 is: 14,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.14 : 15,743.67 = 9,364.06 : x
  2. Step 2: Convert to fraction form
    10,508.14/15,743.67 = 9,364.06/x
  3. Step 3: Cross multiply
    10,508.14x = 15,743.67 × 9,364.06
  4. Step 4: Simplify right side
    10,508.14x = 147,424,670.50
  5. Step 5: Solve for x
    x = 147,424,670.50/10,508.14
  6. Step 6: Final answer
    x = 14,029.57

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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.