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Finding the Fourth Proportional to 7,820.61, 10,792.89 and 4,634.13

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Solution

The fourth proportional to 7,820.61, 10,792.89 and 4,634.13 is: 6,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.61 : 10,792.89 = 4,634.13 : x
  2. Step 2: Convert to fraction form
    7,820.61/10,792.89 = 4,634.13/x
  3. Step 3: Cross multiply
    7,820.61x = 10,792.89 × 4,634.13
  4. Step 4: Simplify right side
    7,820.61x = 50,015,655.34
  5. Step 5: Solve for x
    x = 50,015,655.34/7,820.61
  6. Step 6: Final answer
    x = 6,395.36

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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.