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Finding the Fourth Proportional to 11,312.12, 15,605.52 and 6,834.08

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Solution

The fourth proportional to 11,312.12, 15,605.52 and 6,834.08 is: 9,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.12 : 15,605.52 = 6,834.08 : x
  2. Step 2: Convert to fraction form
    11,312.12/15,605.52 = 6,834.08/x
  3. Step 3: Cross multiply
    11,312.12x = 15,605.52 × 6,834.08
  4. Step 4: Simplify right side
    11,312.12x = 106,649,372.12
  5. Step 5: Solve for x
    x = 106,649,372.12/11,312.12
  6. Step 6: Final answer
    x = 9,427.89

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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.