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Finding the Fourth Proportional to 10,585.54, 15,876.96 and 3,564.46

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Solution

The fourth proportional to 10,585.54, 15,876.96 and 3,564.46 is: 5,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.54 : 15,876.96 = 3,564.46 : x
  2. Step 2: Convert to fraction form
    10,585.54/15,876.96 = 3,564.46/x
  3. Step 3: Cross multiply
    10,585.54x = 15,876.96 × 3,564.46
  4. Step 4: Simplify right side
    10,585.54x = 56,592,788.84
  5. Step 5: Solve for x
    x = 56,592,788.84/10,585.54
  6. Step 6: Final answer
    x = 5,346.24

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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.