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Finding the Fourth Proportional to 10,395.30, 14,341.95 and 5,917.95

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Solution

The fourth proportional to 10,395.30, 14,341.95 and 5,917.95 is: 8,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.30 : 14,341.95 = 5,917.95 : x
  2. Step 2: Convert to fraction form
    10,395.30/14,341.95 = 5,917.95/x
  3. Step 3: Cross multiply
    10,395.30x = 14,341.95 × 5,917.95
  4. Step 4: Simplify right side
    10,395.30x = 84,874,943.00
  5. Step 5: Solve for x
    x = 84,874,943.00/10,395.30
  6. Step 6: Final answer
    x = 8,164.74

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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.