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Finding the Fourth Proportional to 10,483.44, 15,730.56 and 4,644.18

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Solution

The fourth proportional to 10,483.44, 15,730.56 and 4,644.18 is: 6,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.44 : 15,730.56 = 4,644.18 : x
  2. Step 2: Convert to fraction form
    10,483.44/15,730.56 = 4,644.18/x
  3. Step 3: Cross multiply
    10,483.44x = 15,730.56 × 4,644.18
  4. Step 4: Simplify right side
    10,483.44x = 73,055,552.14
  5. Step 5: Solve for x
    x = 73,055,552.14/10,483.44
  6. Step 6: Final answer
    x = 6,968.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.