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Finding the Fourth Proportional to 8,094.90, 12,123.53 and 7,814.29

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Solution

The fourth proportional to 8,094.90, 12,123.53 and 7,814.29 is: 11,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.90 : 12,123.53 = 7,814.29 : x
  2. Step 2: Convert to fraction form
    8,094.90/12,123.53 = 7,814.29/x
  3. Step 3: Cross multiply
    8,094.90x = 12,123.53 × 7,814.29
  4. Step 4: Simplify right side
    8,094.90x = 94,736,779.24
  5. Step 5: Solve for x
    x = 94,736,779.24/8,094.90
  6. Step 6: Final answer
    x = 11,703.27

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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.