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Finding the Fourth Proportional to 10,275.03, 14,175.04 and 6,023.93

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Solution

The fourth proportional to 10,275.03, 14,175.04 and 6,023.93 is: 8,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.03 : 14,175.04 = 6,023.93 : x
  2. Step 2: Convert to fraction form
    10,275.03/14,175.04 = 6,023.93/x
  3. Step 3: Cross multiply
    10,275.03x = 14,175.04 × 6,023.93
  4. Step 4: Simplify right side
    10,275.03x = 85,389,448.71
  5. Step 5: Solve for x
    x = 85,389,448.71/10,275.03
  6. Step 6: Final answer
    x = 8,310.38

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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.