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Finding the Fourth Proportional to 7,565.94, 11,346.48 and 2,498.99

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Solution

The fourth proportional to 7,565.94, 11,346.48 and 2,498.99 is: 3,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.94 : 11,346.48 = 2,498.99 : x
  2. Step 2: Convert to fraction form
    7,565.94/11,346.48 = 2,498.99/x
  3. Step 3: Cross multiply
    7,565.94x = 11,346.48 × 2,498.99
  4. Step 4: Simplify right side
    7,565.94x = 28,354,683.32
  5. Step 5: Solve for x
    x = 28,354,683.32/7,565.94
  6. Step 6: Final answer
    x = 3,747.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.