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Finding the Fourth Proportional to 7,626.66, 11,430.57 and 4,503.50

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Solution

The fourth proportional to 7,626.66, 11,430.57 and 4,503.50 is: 6,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.66 : 11,430.57 = 4,503.50 : x
  2. Step 2: Convert to fraction form
    7,626.66/11,430.57 = 4,503.50/x
  3. Step 3: Cross multiply
    7,626.66x = 11,430.57 × 4,503.50
  4. Step 4: Simplify right side
    7,626.66x = 51,477,572.00
  5. Step 5: Solve for x
    x = 51,477,572.00/7,626.66
  6. Step 6: Final answer
    x = 6,749.69

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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.