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Finding the Fourth Proportional to 7,880.49, 10,875.24 and 4,343.76

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Solution

The fourth proportional to 7,880.49, 10,875.24 and 4,343.76 is: 5,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.49 : 10,875.24 = 4,343.76 : x
  2. Step 2: Convert to fraction form
    7,880.49/10,875.24 = 4,343.76/x
  3. Step 3: Cross multiply
    7,880.49x = 10,875.24 × 4,343.76
  4. Step 4: Simplify right side
    7,880.49x = 47,239,432.50
  5. Step 5: Solve for x
    x = 47,239,432.50/7,880.49
  6. Step 6: Final answer
    x = 5,994.48

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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.