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Finding the Fourth Proportional to 28,579.50, 42,871.14 and 7,803

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Solution

The fourth proportional to 28,579.50, 42,871.14 and 7,803 is: 11,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,579.50 : 42,871.14 = 7,803 : x
  2. Step 2: Convert to fraction form
    28,579.50/42,871.14 = 7,803/x
  3. Step 3: Cross multiply
    28,579.50x = 42,871.14 × 7,803
  4. Step 4: Simplify right side
    28,579.50x = 334,523,505.42
  5. Step 5: Solve for x
    x = 334,523,505.42/28,579.50
  6. Step 6: Final answer
    x = 11,705.02

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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.