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Finding the Fourth Proportional to 7,285.47, 10,054.71 and 4,454.50

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Solution

The fourth proportional to 7,285.47, 10,054.71 and 4,454.50 is: 6,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.47 : 10,054.71 = 4,454.50 : x
  2. Step 2: Convert to fraction form
    7,285.47/10,054.71 = 4,454.50/x
  3. Step 3: Cross multiply
    7,285.47x = 10,054.71 × 4,454.50
  4. Step 4: Simplify right side
    7,285.47x = 44,788,705.70
  5. Step 5: Solve for x
    x = 44,788,705.70/7,285.47
  6. Step 6: Final answer
    x = 6,147.68

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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.