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Finding the Fourth Proportional to 10,735.68, 14,823.60 and 7,389.54

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Solution

The fourth proportional to 10,735.68, 14,823.60 and 7,389.54 is: 10,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.68 : 14,823.60 = 7,389.54 : x
  2. Step 2: Convert to fraction form
    10,735.68/14,823.60 = 7,389.54/x
  3. Step 3: Cross multiply
    10,735.68x = 14,823.60 × 7,389.54
  4. Step 4: Simplify right side
    10,735.68x = 109,539,585.14
  5. Step 5: Solve for x
    x = 109,539,585.14/10,735.68
  6. Step 6: Final answer
    x = 10,203.32

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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.