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Finding the Fourth Proportional to 7,071.93, 10,598.67 and 2,907.18

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Solution

The fourth proportional to 7,071.93, 10,598.67 and 2,907.18 is: 4,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.93 : 10,598.67 = 2,907.18 : x
  2. Step 2: Convert to fraction form
    7,071.93/10,598.67 = 2,907.18/x
  3. Step 3: Cross multiply
    7,071.93x = 10,598.67 × 2,907.18
  4. Step 4: Simplify right side
    7,071.93x = 30,812,241.45
  5. Step 5: Solve for x
    x = 30,812,241.45/7,071.93
  6. Step 6: Final answer
    x = 4,356.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.