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Finding the Fourth Proportional to 7,564.68, 11,343.06 and 4,445.64

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Solution

The fourth proportional to 7,564.68, 11,343.06 and 4,445.64 is: 6,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.68 : 11,343.06 = 4,445.64 : x
  2. Step 2: Convert to fraction form
    7,564.68/11,343.06 = 4,445.64/x
  3. Step 3: Cross multiply
    7,564.68x = 11,343.06 × 4,445.64
  4. Step 4: Simplify right side
    7,564.68x = 50,427,161.26
  5. Step 5: Solve for x
    x = 50,427,161.26/7,564.68
  6. Step 6: Final answer
    x = 6,666.13

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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.