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Finding the Fourth Proportional to 10,731.04, 14,809.26 and 6,015.16

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Solution

The fourth proportional to 10,731.04, 14,809.26 and 6,015.16 is: 8,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.04 : 14,809.26 = 6,015.16 : x
  2. Step 2: Convert to fraction form
    10,731.04/14,809.26 = 6,015.16/x
  3. Step 3: Cross multiply
    10,731.04x = 14,809.26 × 6,015.16
  4. Step 4: Simplify right side
    10,731.04x = 89,080,068.38
  5. Step 5: Solve for x
    x = 89,080,068.38/10,731.04
  6. Step 6: Final answer
    x = 8,301.16

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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.