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Finding the Fourth Proportional to 10,848, 14,970.30 and 5,880

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Solution

The fourth proportional to 10,848, 14,970.30 and 5,880 is: 8,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848 : 14,970.30 = 5,880 : x
  2. Step 2: Convert to fraction form
    10,848/14,970.30 = 5,880/x
  3. Step 3: Cross multiply
    10,848x = 14,970.30 × 5,880
  4. Step 4: Simplify right side
    10,848x = 88,025,364
  5. Step 5: Solve for x
    x = 88,025,364/10,848
  6. Step 6: Final answer
    x = 8,114.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.