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Finding the Fourth Proportional to 28,461.25, 42,691.88 and 7,684.75

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Solution

The fourth proportional to 28,461.25, 42,691.88 and 7,684.75 is: 11,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.25 : 42,691.88 = 7,684.75 : x
  2. Step 2: Convert to fraction form
    28,461.25/42,691.88 = 7,684.75/x
  3. Step 3: Cross multiply
    28,461.25x = 42,691.88 × 7,684.75
  4. Step 4: Simplify right side
    28,461.25x = 328,076,424.83
  5. Step 5: Solve for x
    x = 328,076,424.83/28,461.25
  6. Step 6: Final answer
    x = 11,527.13

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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.