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Finding the Fourth Proportional to 10,453.61, 15,680.35 and 2,556.16

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Solution

The fourth proportional to 10,453.61, 15,680.35 and 2,556.16 is: 3,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.61 : 15,680.35 = 2,556.16 : x
  2. Step 2: Convert to fraction form
    10,453.61/15,680.35 = 2,556.16/x
  3. Step 3: Cross multiply
    10,453.61x = 15,680.35 × 2,556.16
  4. Step 4: Simplify right side
    10,453.61x = 40,081,483.46
  5. Step 5: Solve for x
    x = 40,081,483.46/10,453.61
  6. Step 6: Final answer
    x = 3,834.22

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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.