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Finding the Fourth Proportional to 11,562.14, 15,955.82 and 6,526.56

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Solution

The fourth proportional to 11,562.14, 15,955.82 and 6,526.56 is: 9,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.14 : 15,955.82 = 6,526.56 : x
  2. Step 2: Convert to fraction form
    11,562.14/15,955.82 = 6,526.56/x
  3. Step 3: Cross multiply
    11,562.14x = 15,955.82 × 6,526.56
  4. Step 4: Simplify right side
    11,562.14x = 104,136,616.58
  5. Step 5: Solve for x
    x = 104,136,616.58/11,562.14
  6. Step 6: Final answer
    x = 9,006.69

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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.