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Finding the Fourth Proportional to 10,076.46, 15,117.46 and 3,056.71

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Solution

The fourth proportional to 10,076.46, 15,117.46 and 3,056.71 is: 4,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.46 : 15,117.46 = 3,056.71 : x
  2. Step 2: Convert to fraction form
    10,076.46/15,117.46 = 3,056.71/x
  3. Step 3: Cross multiply
    10,076.46x = 15,117.46 × 3,056.71
  4. Step 4: Simplify right side
    10,076.46x = 46,209,657.18
  5. Step 5: Solve for x
    x = 46,209,657.18/10,076.46
  6. Step 6: Final answer
    x = 4,585.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.