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Finding the Fourth Proportional to 7,773, 11,657.86 and 2,508.50

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Solution

The fourth proportional to 7,773, 11,657.86 and 2,508.50 is: 3,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773 : 11,657.86 = 2,508.50 : x
  2. Step 2: Convert to fraction form
    7,773/11,657.86 = 2,508.50/x
  3. Step 3: Cross multiply
    7,773x = 11,657.86 × 2,508.50
  4. Step 4: Simplify right side
    7,773x = 29,243,741.81
  5. Step 5: Solve for x
    x = 29,243,741.81/7,773
  6. Step 6: Final answer
    x = 3,762.22

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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.