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Finding the Fourth Proportional to 8,341.49, 12,511.80 and 2,101.50

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Solution

The fourth proportional to 8,341.49, 12,511.80 and 2,101.50 is: 3,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.49 : 12,511.80 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    8,341.49/12,511.80 = 2,101.50/x
  3. Step 3: Cross multiply
    8,341.49x = 12,511.80 × 2,101.50
  4. Step 4: Simplify right side
    8,341.49x = 26,293,547.70
  5. Step 5: Solve for x
    x = 26,293,547.70/8,341.49
  6. Step 6: Final answer
    x = 3,152.14

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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.