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Finding the Fourth Proportional to 11,348.89, 15,661.10 and 6,312.97

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Solution

The fourth proportional to 11,348.89, 15,661.10 and 6,312.97 is: 8,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.89 : 15,661.10 = 6,312.97 : x
  2. Step 2: Convert to fraction form
    11,348.89/15,661.10 = 6,312.97/x
  3. Step 3: Cross multiply
    11,348.89x = 15,661.10 × 6,312.97
  4. Step 4: Simplify right side
    11,348.89x = 98,868,054.32
  5. Step 5: Solve for x
    x = 98,868,054.32/11,348.89
  6. Step 6: Final answer
    x = 8,711.69

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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.