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Finding the Fourth Proportional to 28,556.56, 42,834.78 and 7,780

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Solution

The fourth proportional to 28,556.56, 42,834.78 and 7,780 is: 11,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556.56 : 42,834.78 = 7,780 : x
  2. Step 2: Convert to fraction form
    28,556.56/42,834.78 = 7,780/x
  3. Step 3: Cross multiply
    28,556.56x = 42,834.78 × 7,780
  4. Step 4: Simplify right side
    28,556.56x = 333,254,588.40
  5. Step 5: Solve for x
    x = 333,254,588.40/28,556.56
  6. Step 6: Final answer
    x = 11,669.98

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