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Finding the Fourth Proportional to 11,106.97, 15,328.04 and 6,071.54

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Solution

The fourth proportional to 11,106.97, 15,328.04 and 6,071.54 is: 8,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.97 : 15,328.04 = 6,071.54 : x
  2. Step 2: Convert to fraction form
    11,106.97/15,328.04 = 6,071.54/x
  3. Step 3: Cross multiply
    11,106.97x = 15,328.04 × 6,071.54
  4. Step 4: Simplify right side
    11,106.97x = 93,064,700.98
  5. Step 5: Solve for x
    x = 93,064,700.98/11,106.97
  6. Step 6: Final answer
    x = 8,378.94

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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.