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Finding the Fourth Proportional to 10,365.88, 15,548.41 and 2,970.04

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Solution

The fourth proportional to 10,365.88, 15,548.41 and 2,970.04 is: 4,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.88 : 15,548.41 = 2,970.04 : x
  2. Step 2: Convert to fraction form
    10,365.88/15,548.41 = 2,970.04/x
  3. Step 3: Cross multiply
    10,365.88x = 15,548.41 × 2,970.04
  4. Step 4: Simplify right side
    10,365.88x = 46,179,399.64
  5. Step 5: Solve for x
    x = 46,179,399.64/10,365.88
  6. Step 6: Final answer
    x = 4,454.94

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Why These Related Problems?

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