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Finding the Fourth Proportional to 7,303.22, 10,078.23 and 4,116.70

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Solution

The fourth proportional to 7,303.22, 10,078.23 and 4,116.70 is: 5,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.22 : 10,078.23 = 4,116.70 : x
  2. Step 2: Convert to fraction form
    7,303.22/10,078.23 = 4,116.70/x
  3. Step 3: Cross multiply
    7,303.22x = 10,078.23 × 4,116.70
  4. Step 4: Simplify right side
    7,303.22x = 41,489,054.32
  5. Step 5: Solve for x
    x = 41,489,054.32/7,303.22
  6. Step 6: Final answer
    x = 5,680.93

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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.