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Finding the Fourth Proportional to 7,564.95, 11,351.52 and 3,185.46

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Solution

The fourth proportional to 7,564.95, 11,351.52 and 3,185.46 is: 4,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.95 : 11,351.52 = 3,185.46 : x
  2. Step 2: Convert to fraction form
    7,564.95/11,351.52 = 3,185.46/x
  3. Step 3: Cross multiply
    7,564.95x = 11,351.52 × 3,185.46
  4. Step 4: Simplify right side
    7,564.95x = 36,159,812.90
  5. Step 5: Solve for x
    x = 36,159,812.90/7,564.95
  6. Step 6: Final answer
    x = 4,779.91

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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.