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Finding the Fourth Proportional to 7,870.85, 10,860.64 and 4,513.80

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Solution

The fourth proportional to 7,870.85, 10,860.64 and 4,513.80 is: 6,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.85 : 10,860.64 = 4,513.80 : x
  2. Step 2: Convert to fraction form
    7,870.85/10,860.64 = 4,513.80/x
  3. Step 3: Cross multiply
    7,870.85x = 10,860.64 × 4,513.80
  4. Step 4: Simplify right side
    7,870.85x = 49,022,756.83
  5. Step 5: Solve for x
    x = 49,022,756.83/7,870.85
  6. Step 6: Final answer
    x = 6,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.