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Finding the Fourth Proportional to 10,464.57, 15,702.23 and 5,783.70

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Solution

The fourth proportional to 10,464.57, 15,702.23 and 5,783.70 is: 8,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.57 : 15,702.23 = 5,783.70 : x
  2. Step 2: Convert to fraction form
    10,464.57/15,702.23 = 5,783.70/x
  3. Step 3: Cross multiply
    10,464.57x = 15,702.23 × 5,783.70
  4. Step 4: Simplify right side
    10,464.57x = 90,817,063.03
  5. Step 5: Solve for x
    x = 90,817,063.03/10,464.57
  6. Step 6: Final answer
    x = 8,678.53

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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.