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Finding the Fourth Proportional to 7,814.53, 10,779.51 and 5,827.33

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Solution

The fourth proportional to 7,814.53, 10,779.51 and 5,827.33 is: 8,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.53 : 10,779.51 = 5,827.33 : x
  2. Step 2: Convert to fraction form
    7,814.53/10,779.51 = 5,827.33/x
  3. Step 3: Cross multiply
    7,814.53x = 10,779.51 × 5,827.33
  4. Step 4: Simplify right side
    7,814.53x = 62,815,762.01
  5. Step 5: Solve for x
    x = 62,815,762.01/7,814.53
  6. Step 6: Final answer
    x = 8,038.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.