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Finding the Fourth Proportional to 11,554.34, 15,948.93 and 6,775.80

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Solution

The fourth proportional to 11,554.34, 15,948.93 and 6,775.80 is: 9,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.34 : 15,948.93 = 6,775.80 : x
  2. Step 2: Convert to fraction form
    11,554.34/15,948.93 = 6,775.80/x
  3. Step 3: Cross multiply
    11,554.34x = 15,948.93 × 6,775.80
  4. Step 4: Simplify right side
    11,554.34x = 108,066,759.89
  5. Step 5: Solve for x
    x = 108,066,759.89/11,554.34
  6. Step 6: Final answer
    x = 9,352.92

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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.