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Finding the Fourth Proportional to 7,852.48, 11,779.36 and 2,920.93

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Solution

The fourth proportional to 7,852.48, 11,779.36 and 2,920.93 is: 4,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.48 : 11,779.36 = 2,920.93 : x
  2. Step 2: Convert to fraction form
    7,852.48/11,779.36 = 2,920.93/x
  3. Step 3: Cross multiply
    7,852.48x = 11,779.36 × 2,920.93
  4. Step 4: Simplify right side
    7,852.48x = 34,406,649.25
  5. Step 5: Solve for x
    x = 34,406,649.25/7,852.48
  6. Step 6: Final answer
    x = 4,381.63

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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.