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Finding the Fourth Proportional to 11,307.49, 15,617.49 and 9,046.67

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Solution

The fourth proportional to 11,307.49, 15,617.49 and 9,046.67 is: 12,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.49 : 15,617.49 = 9,046.67 : x
  2. Step 2: Convert to fraction form
    11,307.49/15,617.49 = 9,046.67/x
  3. Step 3: Cross multiply
    11,307.49x = 15,617.49 × 9,046.67
  4. Step 4: Simplify right side
    11,307.49x = 141,286,278.26
  5. Step 5: Solve for x
    x = 141,286,278.26/11,307.49
  6. Step 6: Final answer
    x = 12,494.93

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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.