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Finding the Fourth Proportional to 7,575.86, 11,339.55 and 4,057.10

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Solution

The fourth proportional to 7,575.86, 11,339.55 and 4,057.10 is: 6,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.86 : 11,339.55 = 4,057.10 : x
  2. Step 2: Convert to fraction form
    7,575.86/11,339.55 = 4,057.10/x
  3. Step 3: Cross multiply
    7,575.86x = 11,339.55 × 4,057.10
  4. Step 4: Simplify right side
    7,575.86x = 46,005,688.31
  5. Step 5: Solve for x
    x = 46,005,688.31/7,575.86
  6. Step 6: Final answer
    x = 6,072.67

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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.