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Finding the Fourth Proportional to 7,762.16, 10,706.88 and 4,616

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Solution

The fourth proportional to 7,762.16, 10,706.88 and 4,616 is: 6,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.16 : 10,706.88 = 4,616 : x
  2. Step 2: Convert to fraction form
    7,762.16/10,706.88 = 4,616/x
  3. Step 3: Cross multiply
    7,762.16x = 10,706.88 × 4,616
  4. Step 4: Simplify right side
    7,762.16x = 49,422,958.08
  5. Step 5: Solve for x
    x = 49,422,958.08/7,762.16
  6. Step 6: Final answer
    x = 6,367.17

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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.