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Finding the Fourth Proportional to 7,553.14, 10,420.82 and 4,567.84

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Solution

The fourth proportional to 7,553.14, 10,420.82 and 4,567.84 is: 6,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.14 : 10,420.82 = 4,567.84 : x
  2. Step 2: Convert to fraction form
    7,553.14/10,420.82 = 4,567.84/x
  3. Step 3: Cross multiply
    7,553.14x = 10,420.82 × 4,567.84
  4. Step 4: Simplify right side
    7,553.14x = 47,600,638.43
  5. Step 5: Solve for x
    x = 47,600,638.43/7,553.14
  6. Step 6: Final answer
    x = 6,302.10

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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.