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Finding the Fourth Proportional to 7,477.08, 10,315.50 and 4,493.64

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Solution

The fourth proportional to 7,477.08, 10,315.50 and 4,493.64 is: 6,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.08 : 10,315.50 = 4,493.64 : x
  2. Step 2: Convert to fraction form
    7,477.08/10,315.50 = 4,493.64/x
  3. Step 3: Cross multiply
    7,477.08x = 10,315.50 × 4,493.64
  4. Step 4: Simplify right side
    7,477.08x = 46,354,143.42
  5. Step 5: Solve for x
    x = 46,354,143.42/7,477.08
  6. Step 6: Final answer
    x = 6,199.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.