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Finding the Fourth Proportional to 10,445.96, 15,664.32 and 4,894.82

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Solution

The fourth proportional to 10,445.96, 15,664.32 and 4,894.82 is: 7,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.96 : 15,664.32 = 4,894.82 : x
  2. Step 2: Convert to fraction form
    10,445.96/15,664.32 = 4,894.82/x
  3. Step 3: Cross multiply
    10,445.96x = 15,664.32 × 4,894.82
  4. Step 4: Simplify right side
    10,445.96x = 76,673,948.50
  5. Step 5: Solve for x
    x = 76,673,948.50/10,445.96
  6. Step 6: Final answer
    x = 7,340.06

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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.