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Finding the Fourth Proportional to 10,368.14, 14,308.11 and 5,652.45

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Solution

The fourth proportional to 10,368.14, 14,308.11 and 5,652.45 is: 7,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.14 : 14,308.11 = 5,652.45 : x
  2. Step 2: Convert to fraction form
    10,368.14/14,308.11 = 5,652.45/x
  3. Step 3: Cross multiply
    10,368.14x = 14,308.11 × 5,652.45
  4. Step 4: Simplify right side
    10,368.14x = 80,875,876.37
  5. Step 5: Solve for x
    x = 80,875,876.37/10,368.14
  6. Step 6: Final answer
    x = 7,800.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.