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Finding the Fourth Proportional to 7,802.78, 10,767.30 and 4,445.48

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Solution

The fourth proportional to 7,802.78, 10,767.30 and 4,445.48 is: 6,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.78 : 10,767.30 = 4,445.48 : x
  2. Step 2: Convert to fraction form
    7,802.78/10,767.30 = 4,445.48/x
  3. Step 3: Cross multiply
    7,802.78x = 10,767.30 × 4,445.48
  4. Step 4: Simplify right side
    7,802.78x = 47,865,816.80
  5. Step 5: Solve for x
    x = 47,865,816.80/7,802.78
  6. Step 6: Final answer
    x = 6,134.46

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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.