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Finding the Fourth Proportional to 10,835.68, 16,242 and 4,599.04

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Solution

The fourth proportional to 10,835.68, 16,242 and 4,599.04 is: 6,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.68 : 16,242 = 4,599.04 : x
  2. Step 2: Convert to fraction form
    10,835.68/16,242 = 4,599.04/x
  3. Step 3: Cross multiply
    10,835.68x = 16,242 × 4,599.04
  4. Step 4: Simplify right side
    10,835.68x = 74,697,607.68
  5. Step 5: Solve for x
    x = 74,697,607.68/10,835.68
  6. Step 6: Final answer
    x = 6,893.67

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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.