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Finding the Fourth Proportional to 10,402.60, 15,594.54 and 3,824.32

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Solution

The fourth proportional to 10,402.60, 15,594.54 and 3,824.32 is: 5,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.60 : 15,594.54 = 3,824.32 : x
  2. Step 2: Convert to fraction form
    10,402.60/15,594.54 = 3,824.32/x
  3. Step 3: Cross multiply
    10,402.60x = 15,594.54 × 3,824.32
  4. Step 4: Simplify right side
    10,402.60x = 59,638,511.21
  5. Step 5: Solve for x
    x = 59,638,511.21/10,402.60
  6. Step 6: Final answer
    x = 5,733.04

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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.