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Finding the Fourth Proportional to 28,419.50, 42,630.06 and 7,643

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Solution

The fourth proportional to 28,419.50, 42,630.06 and 7,643 is: 11,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419.50 : 42,630.06 = 7,643 : x
  2. Step 2: Convert to fraction form
    28,419.50/42,630.06 = 7,643/x
  3. Step 3: Cross multiply
    28,419.50x = 42,630.06 × 7,643
  4. Step 4: Simplify right side
    28,419.50x = 325,821,548.58
  5. Step 5: Solve for x
    x = 325,821,548.58/28,419.50
  6. Step 6: Final answer
    x = 11,464.72

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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.