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Finding the Fourth Proportional to 11,154.76, 15,393.43 and 6,438.94

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Solution

The fourth proportional to 11,154.76, 15,393.43 and 6,438.94 is: 8,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.76 : 15,393.43 = 6,438.94 : x
  2. Step 2: Convert to fraction form
    11,154.76/15,393.43 = 6,438.94/x
  3. Step 3: Cross multiply
    11,154.76x = 15,393.43 × 6,438.94
  4. Step 4: Simplify right side
    11,154.76x = 99,117,372.16
  5. Step 5: Solve for x
    x = 99,117,372.16/11,154.76
  6. Step 6: Final answer
    x = 8,885.66

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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.