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Finding the Fourth Proportional to 7,802.37, 10,768.14 and 4,445.64

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Solution

The fourth proportional to 7,802.37, 10,768.14 and 4,445.64 is: 6,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.37 : 10,768.14 = 4,445.64 : x
  2. Step 2: Convert to fraction form
    7,802.37/10,768.14 = 4,445.64/x
  3. Step 3: Cross multiply
    7,802.37x = 10,768.14 × 4,445.64
  4. Step 4: Simplify right side
    7,802.37x = 47,871,273.91
  5. Step 5: Solve for x
    x = 47,871,273.91/7,802.37
  6. Step 6: Final answer
    x = 6,135.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.