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Finding the Fourth Proportional to 10,373.84, 15,564.40 and 8,825.60

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Solution

The fourth proportional to 10,373.84, 15,564.40 and 8,825.60 is: 13,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.84 : 15,564.40 = 8,825.60 : x
  2. Step 2: Convert to fraction form
    10,373.84/15,564.40 = 8,825.60/x
  3. Step 3: Cross multiply
    10,373.84x = 15,564.40 × 8,825.60
  4. Step 4: Simplify right side
    10,373.84x = 137,365,168.64
  5. Step 5: Solve for x
    x = 137,365,168.64/10,373.84
  6. Step 6: Final answer
    x = 13,241.50

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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.