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Finding the Fourth Proportional to 10,374.38, 14,316.65 and 5,898.41

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Solution

The fourth proportional to 10,374.38, 14,316.65 and 5,898.41 is: 8,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.38 : 14,316.65 = 5,898.41 : x
  2. Step 2: Convert to fraction form
    10,374.38/14,316.65 = 5,898.41/x
  3. Step 3: Cross multiply
    10,374.38x = 14,316.65 × 5,898.41
  4. Step 4: Simplify right side
    10,374.38x = 84,445,426.12
  5. Step 5: Solve for x
    x = 84,445,426.12/10,374.38
  6. Step 6: Final answer
    x = 8,139.80

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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.