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Finding the Fourth Proportional to 10,368.48, 14,308.50 and 5,652.75

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Solution

The fourth proportional to 10,368.48, 14,308.50 and 5,652.75 is: 7,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.48 : 14,308.50 = 5,652.75 : x
  2. Step 2: Convert to fraction form
    10,368.48/14,308.50 = 5,652.75/x
  3. Step 3: Cross multiply
    10,368.48x = 14,308.50 × 5,652.75
  4. Step 4: Simplify right side
    10,368.48x = 80,882,373.38
  5. Step 5: Solve for x
    x = 80,882,373.38/10,368.48
  6. Step 6: Final answer
    x = 7,800.79

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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.