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Finding the Fourth Proportional to 7,564.88, 10,439.76 and 4,581.26

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Solution

The fourth proportional to 7,564.88, 10,439.76 and 4,581.26 is: 6,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.88 : 10,439.76 = 4,581.26 : x
  2. Step 2: Convert to fraction form
    7,564.88/10,439.76 = 4,581.26/x
  3. Step 3: Cross multiply
    7,564.88x = 10,439.76 × 4,581.26
  4. Step 4: Simplify right side
    7,564.88x = 47,827,254.90
  5. Step 5: Solve for x
    x = 47,827,254.90/7,564.88
  6. Step 6: Final answer
    x = 6,322.28

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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.