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Finding the Fourth Proportional to 7,820.58, 10,792.55 and 4,283.57

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Solution

The fourth proportional to 7,820.58, 10,792.55 and 4,283.57 is: 5,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.58 : 10,792.55 = 4,283.57 : x
  2. Step 2: Convert to fraction form
    7,820.58/10,792.55 = 4,283.57/x
  3. Step 3: Cross multiply
    7,820.58x = 10,792.55 × 4,283.57
  4. Step 4: Simplify right side
    7,820.58x = 46,230,681.09
  5. Step 5: Solve for x
    x = 46,230,681.09/7,820.58
  6. Step 6: Final answer
    x = 5,911.41

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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.