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Finding the Fourth Proportional to 10,341.70, 15,512.64 and 2,946.15

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Solution

The fourth proportional to 10,341.70, 15,512.64 and 2,946.15 is: 4,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.70 : 15,512.64 = 2,946.15 : x
  2. Step 2: Convert to fraction form
    10,341.70/15,512.64 = 2,946.15/x
  3. Step 3: Cross multiply
    10,341.70x = 15,512.64 × 2,946.15
  4. Step 4: Simplify right side
    10,341.70x = 45,702,564.34
  5. Step 5: Solve for x
    x = 45,702,564.34/10,341.70
  6. Step 6: Final answer
    x = 4,419.25

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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.