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Finding the Fourth Proportional to 11,300.16, 15,584.40 and 8,938.16

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Solution

The fourth proportional to 11,300.16, 15,584.40 and 8,938.16 is: 12,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.16 : 15,584.40 = 8,938.16 : x
  2. Step 2: Convert to fraction form
    11,300.16/15,584.40 = 8,938.16/x
  3. Step 3: Cross multiply
    11,300.16x = 15,584.40 × 8,938.16
  4. Step 4: Simplify right side
    11,300.16x = 139,295,860.70
  5. Step 5: Solve for x
    x = 139,295,860.70/11,300.16
  6. Step 6: Final answer
    x = 12,326.89

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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.