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Finding the Fourth Proportional to 10,214, 14,095.32 and 5,798

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Solution

The fourth proportional to 10,214, 14,095.32 and 5,798 is: 8,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 14,095.32 = 5,798 : x
  2. Step 2: Convert to fraction form
    10,214/14,095.32 = 5,798/x
  3. Step 3: Cross multiply
    10,214x = 14,095.32 × 5,798
  4. Step 4: Simplify right side
    10,214x = 81,724,665.36
  5. Step 5: Solve for x
    x = 81,724,665.36/10,214
  6. Step 6: Final answer
    x = 8,001.24

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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.