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Finding the Fourth Proportional to 11,301.88, 15,596.80 and 6,586.48

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Solution

The fourth proportional to 11,301.88, 15,596.80 and 6,586.48 is: 9,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.88 : 15,596.80 = 6,586.48 : x
  2. Step 2: Convert to fraction form
    11,301.88/15,596.80 = 6,586.48/x
  3. Step 3: Cross multiply
    11,301.88x = 15,596.80 × 6,586.48
  4. Step 4: Simplify right side
    11,301.88x = 102,728,011.26
  5. Step 5: Solve for x
    x = 102,728,011.26/11,301.88
  6. Step 6: Final answer
    x = 9,089.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.