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Finding the Fourth Proportional to 10,368.13, 14,308.03 and 5,652.41

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Solution

The fourth proportional to 10,368.13, 14,308.03 and 5,652.41 is: 7,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.13 : 14,308.03 = 5,652.41 : x
  2. Step 2: Convert to fraction form
    10,368.13/14,308.03 = 5,652.41/x
  3. Step 3: Cross multiply
    10,368.13x = 14,308.03 × 5,652.41
  4. Step 4: Simplify right side
    10,368.13x = 80,874,823.59
  5. Step 5: Solve for x
    x = 80,874,823.59/10,368.13
  6. Step 6: Final answer
    x = 7,800.33

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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.