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Finding the Fourth Proportional to 28,582.84, 42,875.34 and 7,806.34

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Solution

The fourth proportional to 28,582.84, 42,875.34 and 7,806.34 is: 11,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582.84 : 42,875.34 = 7,806.34 : x
  2. Step 2: Convert to fraction form
    28,582.84/42,875.34 = 7,806.34/x
  3. Step 3: Cross multiply
    28,582.84x = 42,875.34 × 7,806.34
  4. Step 4: Simplify right side
    28,582.84x = 334,699,481.66
  5. Step 5: Solve for x
    x = 334,699,481.66/28,582.84
  6. Step 6: Final answer
    x = 11,709.80

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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.