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Finding the Fourth Proportional to 7,856.04, 11,784.06 and 3,693.46

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Solution

The fourth proportional to 7,856.04, 11,784.06 and 3,693.46 is: 5,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.04 : 11,784.06 = 3,693.46 : x
  2. Step 2: Convert to fraction form
    7,856.04/11,784.06 = 3,693.46/x
  3. Step 3: Cross multiply
    7,856.04x = 11,784.06 × 3,693.46
  4. Step 4: Simplify right side
    7,856.04x = 43,523,954.25
  5. Step 5: Solve for x
    x = 43,523,954.25/7,856.04
  6. Step 6: Final answer
    x = 5,540.19

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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.