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Finding the Fourth Proportional to 6,975.77, 10,460.24 and 4,868.40

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Solution

The fourth proportional to 6,975.77, 10,460.24 and 4,868.40 is: 7,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.77 : 10,460.24 = 4,868.40 : x
  2. Step 2: Convert to fraction form
    6,975.77/10,460.24 = 4,868.40/x
  3. Step 3: Cross multiply
    6,975.77x = 10,460.24 × 4,868.40
  4. Step 4: Simplify right side
    6,975.77x = 50,924,608.07
  5. Step 5: Solve for x
    x = 50,924,608.07/6,975.77
  6. Step 6: Final answer
    x = 7,300.21

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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.