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Finding the Fourth Proportional to 7,329.54, 10,114.29 and 4,534.50

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Solution

The fourth proportional to 7,329.54, 10,114.29 and 4,534.50 is: 6,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.54 : 10,114.29 = 4,534.50 : x
  2. Step 2: Convert to fraction form
    7,329.54/10,114.29 = 4,534.50/x
  3. Step 3: Cross multiply
    7,329.54x = 10,114.29 × 4,534.50
  4. Step 4: Simplify right side
    7,329.54x = 45,863,248.01
  5. Step 5: Solve for x
    x = 45,863,248.01/7,329.54
  6. Step 6: Final answer
    x = 6,257.32

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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.