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Finding the Fourth Proportional to 10,919.41, 15,053.53 and 9,234.06

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Solution

The fourth proportional to 10,919.41, 15,053.53 and 9,234.06 is: 12,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.41 : 15,053.53 = 9,234.06 : x
  2. Step 2: Convert to fraction form
    10,919.41/15,053.53 = 9,234.06/x
  3. Step 3: Cross multiply
    10,919.41x = 15,053.53 × 9,234.06
  4. Step 4: Simplify right side
    10,919.41x = 139,005,199.23
  5. Step 5: Solve for x
    x = 139,005,199.23/10,919.41
  6. Step 6: Final answer
    x = 12,730.10

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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.