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Finding the Fourth Proportional to 7,852.34, 11,779.72 and 2,657

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Solution

The fourth proportional to 7,852.34, 11,779.72 and 2,657 is: 3,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.34 : 11,779.72 = 2,657 : x
  2. Step 2: Convert to fraction form
    7,852.34/11,779.72 = 2,657/x
  3. Step 3: Cross multiply
    7,852.34x = 11,779.72 × 2,657
  4. Step 4: Simplify right side
    7,852.34x = 31,298,716.04
  5. Step 5: Solve for x
    x = 31,298,716.04/7,852.34
  6. Step 6: Final answer
    x = 3,985.91

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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.