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Finding the Fourth Proportional to 7,564.95, 10,438.08 and 4,420.53

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Solution

The fourth proportional to 7,564.95, 10,438.08 and 4,420.53 is: 6,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.95 : 10,438.08 = 4,420.53 : x
  2. Step 2: Convert to fraction form
    7,564.95/10,438.08 = 4,420.53/x
  3. Step 3: Cross multiply
    7,564.95x = 10,438.08 × 4,420.53
  4. Step 4: Simplify right side
    7,564.95x = 46,141,845.78
  5. Step 5: Solve for x
    x = 46,141,845.78/7,564.95
  6. Step 6: Final answer
    x = 6,099.43

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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.