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Finding the Fourth Proportional to 10,202.58, 15,303.69 and 5,810.67

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Solution

The fourth proportional to 10,202.58, 15,303.69 and 5,810.67 is: 8,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.58 : 15,303.69 = 5,810.67 : x
  2. Step 2: Convert to fraction form
    10,202.58/15,303.69 = 5,810.67/x
  3. Step 3: Cross multiply
    10,202.58x = 15,303.69 × 5,810.67
  4. Step 4: Simplify right side
    10,202.58x = 88,924,692.37
  5. Step 5: Solve for x
    x = 88,924,692.37/10,202.58
  6. Step 6: Final answer
    x = 8,715.90

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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.