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Finding the Fourth Proportional to 7,860.06, 10,847.06 and 4,323.46

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Solution

The fourth proportional to 7,860.06, 10,847.06 and 4,323.46 is: 5,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.06 : 10,847.06 = 4,323.46 : x
  2. Step 2: Convert to fraction form
    7,860.06/10,847.06 = 4,323.46/x
  3. Step 3: Cross multiply
    7,860.06x = 10,847.06 × 4,323.46
  4. Step 4: Simplify right side
    7,860.06x = 46,896,830.03
  5. Step 5: Solve for x
    x = 46,896,830.03/7,860.06
  6. Step 6: Final answer
    x = 5,966.47

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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.