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Finding the Fourth Proportional to 7,564.37, 10,421.80 and 5,672.99

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Solution

The fourth proportional to 7,564.37, 10,421.80 and 5,672.99 is: 7,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.37 : 10,421.80 = 5,672.99 : x
  2. Step 2: Convert to fraction form
    7,564.37/10,421.80 = 5,672.99/x
  3. Step 3: Cross multiply
    7,564.37x = 10,421.80 × 5,672.99
  4. Step 4: Simplify right side
    7,564.37x = 59,122,779.05
  5. Step 5: Solve for x
    x = 59,122,779.05/7,564.37
  6. Step 6: Final answer
    x = 7,815.96

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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.