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Finding the Fourth Proportional to 10,920.56, 15,071.06 and 6,140.95

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Solution

The fourth proportional to 10,920.56, 15,071.06 and 6,140.95 is: 8,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.56 : 15,071.06 = 6,140.95 : x
  2. Step 2: Convert to fraction form
    10,920.56/15,071.06 = 6,140.95/x
  3. Step 3: Cross multiply
    10,920.56x = 15,071.06 × 6,140.95
  4. Step 4: Simplify right side
    10,920.56x = 92,550,603.58
  5. Step 5: Solve for x
    x = 92,550,603.58/10,920.56
  6. Step 6: Final answer
    x = 8,474.90

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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.