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Finding the Fourth Proportional to 7,703.36, 11,556 and 2,507.84

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Solution

The fourth proportional to 7,703.36, 11,556 and 2,507.84 is: 3,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.36 : 11,556 = 2,507.84 : x
  2. Step 2: Convert to fraction form
    7,703.36/11,556 = 2,507.84/x
  3. Step 3: Cross multiply
    7,703.36x = 11,556 × 2,507.84
  4. Step 4: Simplify right side
    7,703.36x = 28,980,599.04
  5. Step 5: Solve for x
    x = 28,980,599.04/7,703.36
  6. Step 6: Final answer
    x = 3,762.07

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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.