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Finding the Fourth Proportional to 7,564.68, 11,345.82 and 4,782.96

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Solution

The fourth proportional to 7,564.68, 11,345.82 and 4,782.96 is: 7,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.68 : 11,345.82 = 4,782.96 : x
  2. Step 2: Convert to fraction form
    7,564.68/11,345.82 = 4,782.96/x
  3. Step 3: Cross multiply
    7,564.68x = 11,345.82 × 4,782.96
  4. Step 4: Simplify right side
    7,564.68x = 54,266,603.23
  5. Step 5: Solve for x
    x = 54,266,603.23/7,564.68
  6. Step 6: Final answer
    x = 7,173.68

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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.