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Finding the Fourth Proportional to 7,880.41, 10,875 and 4,343.55

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Solution

The fourth proportional to 7,880.41, 10,875 and 4,343.55 is: 5,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.41 : 10,875 = 4,343.55 : x
  2. Step 2: Convert to fraction form
    7,880.41/10,875 = 4,343.55/x
  3. Step 3: Cross multiply
    7,880.41x = 10,875 × 4,343.55
  4. Step 4: Simplify right side
    7,880.41x = 47,236,106.25
  5. Step 5: Solve for x
    x = 47,236,106.25/7,880.41
  6. Step 6: Final answer
    x = 5,994.12

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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.