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Finding the Fourth Proportional to 7,298.88, 10,071.88 and 4,112

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Solution

The fourth proportional to 7,298.88, 10,071.88 and 4,112 is: 5,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.88 : 10,071.88 = 4,112 : x
  2. Step 2: Convert to fraction form
    7,298.88/10,071.88 = 4,112/x
  3. Step 3: Cross multiply
    7,298.88x = 10,071.88 × 4,112
  4. Step 4: Simplify right side
    7,298.88x = 41,415,550
  5. Step 5: Solve for x
    x = 41,415,550/7,298.88
  6. Step 6: Final answer
    x = 5,674.23

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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.