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Finding the Fourth Proportional to 28,575.20, 42,862.80 and 7,798.70

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Solution

The fourth proportional to 28,575.20, 42,862.80 and 7,798.70 is: 11,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,575.20 : 42,862.80 = 7,798.70 : x
  2. Step 2: Convert to fraction form
    28,575.20/42,862.80 = 7,798.70/x
  3. Step 3: Cross multiply
    28,575.20x = 42,862.80 × 7,798.70
  4. Step 4: Simplify right side
    28,575.20x = 334,274,118.36
  5. Step 5: Solve for x
    x = 334,274,118.36/28,575.20
  6. Step 6: Final answer
    x = 11,698.05

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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.