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Finding the Fourth Proportional to 28,655, 42,977.78 and 7,596.35

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Solution

The fourth proportional to 28,655, 42,977.78 and 7,596.35 is: 11,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,655 : 42,977.78 = 7,596.35 : x
  2. Step 2: Convert to fraction form
    28,655/42,977.78 = 7,596.35/x
  3. Step 3: Cross multiply
    28,655x = 42,977.78 × 7,596.35
  4. Step 4: Simplify right side
    28,655x = 326,474,259.10
  5. Step 5: Solve for x
    x = 326,474,259.10/28,655
  6. Step 6: Final answer
    x = 11,393.27

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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.