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Finding the Fourth Proportional to 10,483.34, 15,725.12 and 2,585.84

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Solution

The fourth proportional to 10,483.34, 15,725.12 and 2,585.84 is: 3,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.34 : 15,725.12 = 2,585.84 : x
  2. Step 2: Convert to fraction form
    10,483.34/15,725.12 = 2,585.84/x
  3. Step 3: Cross multiply
    10,483.34x = 15,725.12 × 2,585.84
  4. Step 4: Simplify right side
    10,483.34x = 40,662,552.75
  5. Step 5: Solve for x
    x = 40,662,552.75/10,483.34
  6. Step 6: Final answer
    x = 3,878.78

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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.