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Finding the Fourth Proportional to 10,335.62, 14,239.04 and 7,186.34

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Solution

The fourth proportional to 10,335.62, 14,239.04 and 7,186.34 is: 9,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.62 : 14,239.04 = 7,186.34 : x
  2. Step 2: Convert to fraction form
    10,335.62/14,239.04 = 7,186.34/x
  3. Step 3: Cross multiply
    10,335.62x = 14,239.04 × 7,186.34
  4. Step 4: Simplify right side
    10,335.62x = 102,326,582.71
  5. Step 5: Solve for x
    x = 102,326,582.71/10,335.62
  6. Step 6: Final answer
    x = 9,900.38

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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.