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Finding the Fourth Proportional to 7,838.25, 10,820.43 and 6,054.63

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Solution

The fourth proportional to 7,838.25, 10,820.43 and 6,054.63 is: 8,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.25 : 10,820.43 = 6,054.63 : x
  2. Step 2: Convert to fraction form
    7,838.25/10,820.43 = 6,054.63/x
  3. Step 3: Cross multiply
    7,838.25x = 10,820.43 × 6,054.63
  4. Step 4: Simplify right side
    7,838.25x = 65,513,700.09
  5. Step 5: Solve for x
    x = 65,513,700.09/7,838.25
  6. Step 6: Final answer
    x = 8,358.20

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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.