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Finding the Fourth Proportional to 28,442.36, 42,658.68 and 7,661

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Solution

The fourth proportional to 28,442.36, 42,658.68 and 7,661 is: 11,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,442.36 : 42,658.68 = 7,661 : x
  2. Step 2: Convert to fraction form
    28,442.36/42,658.68 = 7,661/x
  3. Step 3: Cross multiply
    28,442.36x = 42,658.68 × 7,661
  4. Step 4: Simplify right side
    28,442.36x = 326,808,147.48
  5. Step 5: Solve for x
    x = 326,808,147.48/28,442.36
  6. Step 6: Final answer
    x = 11,490.19

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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.