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Finding the Fourth Proportional to 15,528.76, 23,285.56 and 5,137

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Solution

The fourth proportional to 15,528.76, 23,285.56 and 5,137 is: 7,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528.76 : 23,285.56 = 5,137 : x
  2. Step 2: Convert to fraction form
    15,528.76/23,285.56 = 5,137/x
  3. Step 3: Cross multiply
    15,528.76x = 23,285.56 × 5,137
  4. Step 4: Simplify right side
    15,528.76x = 119,617,921.72
  5. Step 5: Solve for x
    x = 119,617,921.72/15,528.76
  6. Step 6: Final answer
    x = 7,702.99

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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.