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Finding the Fourth Proportional to 10,656, 15,984 and 3,360

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Solution

The fourth proportional to 10,656, 15,984 and 3,360 is: 5,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656 : 15,984 = 3,360 : x
  2. Step 2: Convert to fraction form
    10,656/15,984 = 3,360/x
  3. Step 3: Cross multiply
    10,656x = 15,984 × 3,360
  4. Step 4: Simplify right side
    10,656x = 53,706,240
  5. Step 5: Solve for x
    x = 53,706,240/10,656
  6. Step 6: Final answer
    x = 5,040

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