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Finding the Fourth Proportional to 7,458.76, 10,292.82 and 4,472.84

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Solution

The fourth proportional to 7,458.76, 10,292.82 and 4,472.84 is: 6,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.76 : 10,292.82 = 4,472.84 : x
  2. Step 2: Convert to fraction form
    7,458.76/10,292.82 = 4,472.84/x
  3. Step 3: Cross multiply
    7,458.76x = 10,292.82 × 4,472.84
  4. Step 4: Simplify right side
    7,458.76x = 46,038,137.01
  5. Step 5: Solve for x
    x = 46,038,137.01/7,458.76
  6. Step 6: Final answer
    x = 6,172.36

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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.