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Finding the Fourth Proportional to 10,458.06, 15,692.22 and 4,607.70

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Solution

The fourth proportional to 10,458.06, 15,692.22 and 4,607.70 is: 6,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.06 : 15,692.22 = 4,607.70 : x
  2. Step 2: Convert to fraction form
    10,458.06/15,692.22 = 4,607.70/x
  3. Step 3: Cross multiply
    10,458.06x = 15,692.22 × 4,607.70
  4. Step 4: Simplify right side
    10,458.06x = 72,305,042.09
  5. Step 5: Solve for x
    x = 72,305,042.09/10,458.06
  6. Step 6: Final answer
    x = 6,913.81

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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.