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Finding the Fourth Proportional to 10,302.76, 14,218.32 and 6,054.06

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Solution

The fourth proportional to 10,302.76, 14,218.32 and 6,054.06 is: 8,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.76 : 14,218.32 = 6,054.06 : x
  2. Step 2: Convert to fraction form
    10,302.76/14,218.32 = 6,054.06/x
  3. Step 3: Cross multiply
    10,302.76x = 14,218.32 × 6,054.06
  4. Step 4: Simplify right side
    10,302.76x = 86,078,562.38
  5. Step 5: Solve for x
    x = 86,078,562.38/10,302.76
  6. Step 6: Final answer
    x = 8,354.90

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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.