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Finding the Fourth Proportional to 11,097.36, 15,315.12 and 6,381.36

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Solution

The fourth proportional to 11,097.36, 15,315.12 and 6,381.36 is: 8,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.36 : 15,315.12 = 6,381.36 : x
  2. Step 2: Convert to fraction form
    11,097.36/15,315.12 = 6,381.36/x
  3. Step 3: Cross multiply
    11,097.36x = 15,315.12 × 6,381.36
  4. Step 4: Simplify right side
    11,097.36x = 97,731,294.16
  5. Step 5: Solve for x
    x = 97,731,294.16/11,097.36
  6. Step 6: Final answer
    x = 8,806.72

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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.