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Finding the Fourth Proportional to 7,699.48, 11,549.37 and 3,538.35

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Solution

The fourth proportional to 7,699.48, 11,549.37 and 3,538.35 is: 5,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.48 : 11,549.37 = 3,538.35 : x
  2. Step 2: Convert to fraction form
    7,699.48/11,549.37 = 3,538.35/x
  3. Step 3: Cross multiply
    7,699.48x = 11,549.37 × 3,538.35
  4. Step 4: Simplify right side
    7,699.48x = 40,865,713.34
  5. Step 5: Solve for x
    x = 40,865,713.34/7,699.48
  6. Step 6: Final answer
    x = 5,307.59

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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.