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Finding the Fourth Proportional to 10,427.40, 15,640.38 and 4,583.88

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Solution

The fourth proportional to 10,427.40, 15,640.38 and 4,583.88 is: 6,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.40 : 15,640.38 = 4,583.88 : x
  2. Step 2: Convert to fraction form
    10,427.40/15,640.38 = 4,583.88/x
  3. Step 3: Cross multiply
    10,427.40x = 15,640.38 × 4,583.88
  4. Step 4: Simplify right side
    10,427.40x = 71,693,625.07
  5. Step 5: Solve for x
    x = 71,693,625.07/10,427.40
  6. Step 6: Final answer
    x = 6,875.50

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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.