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Finding the Fourth Proportional to 10,384.80, 15,577.06 and 4,835.04

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Solution

The fourth proportional to 10,384.80, 15,577.06 and 4,835.04 is: 7,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.80 : 15,577.06 = 4,835.04 : x
  2. Step 2: Convert to fraction form
    10,384.80/15,577.06 = 4,835.04/x
  3. Step 3: Cross multiply
    10,384.80x = 15,577.06 × 4,835.04
  4. Step 4: Simplify right side
    10,384.80x = 75,315,708.18
  5. Step 5: Solve for x
    x = 75,315,708.18/10,384.80
  6. Step 6: Final answer
    x = 7,252.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.