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Finding the Fourth Proportional to 13,798.63, 19,042.11 and 7,511

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Solution

The fourth proportional to 13,798.63, 19,042.11 and 7,511 is: 10,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.63 : 19,042.11 = 7,511 : x
  2. Step 2: Convert to fraction form
    13,798.63/19,042.11 = 7,511/x
  3. Step 3: Cross multiply
    13,798.63x = 19,042.11 × 7,511
  4. Step 4: Simplify right side
    13,798.63x = 143,025,250.66
  5. Step 5: Solve for x
    x = 143,025,250.66/13,798.63
  6. Step 6: Final answer
    x = 10,365.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.