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Finding the Fourth Proportional to 7,705.98, 11,559.64 and 2,707.93

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Solution

The fourth proportional to 7,705.98, 11,559.64 and 2,707.93 is: 4,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.98 : 11,559.64 = 2,707.93 : x
  2. Step 2: Convert to fraction form
    7,705.98/11,559.64 = 2,707.93/x
  3. Step 3: Cross multiply
    7,705.98x = 11,559.64 × 2,707.93
  4. Step 4: Simplify right side
    7,705.98x = 31,302,636.06
  5. Step 5: Solve for x
    x = 31,302,636.06/7,705.98
  6. Step 6: Final answer
    x = 4,062.12

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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.