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Finding the Fourth Proportional to 28,477.56, 42,717.12 and 7,701

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Solution

The fourth proportional to 28,477.56, 42,717.12 and 7,701 is: 11,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,477.56 : 42,717.12 = 7,701 : x
  2. Step 2: Convert to fraction form
    28,477.56/42,717.12 = 7,701/x
  3. Step 3: Cross multiply
    28,477.56x = 42,717.12 × 7,701
  4. Step 4: Simplify right side
    28,477.56x = 328,964,541.12
  5. Step 5: Solve for x
    x = 328,964,541.12/28,477.56
  6. Step 6: Final answer
    x = 11,551.71

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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.