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Finding the Fourth Proportional to 10,215.18, 14,097.06 and 6,023.34

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Solution

The fourth proportional to 10,215.18, 14,097.06 and 6,023.34 is: 8,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.18 : 14,097.06 = 6,023.34 : x
  2. Step 2: Convert to fraction form
    10,215.18/14,097.06 = 6,023.34/x
  3. Step 3: Cross multiply
    10,215.18x = 14,097.06 × 6,023.34
  4. Step 4: Simplify right side
    10,215.18x = 84,911,385.38
  5. Step 5: Solve for x
    x = 84,911,385.38/10,215.18
  6. Step 6: Final answer
    x = 8,312.28

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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.