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Finding the Fourth Proportional to 10,404.76, 14,358.60 and 5,689.02

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Solution

The fourth proportional to 10,404.76, 14,358.60 and 5,689.02 is: 7,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.76 : 14,358.60 = 5,689.02 : x
  2. Step 2: Convert to fraction form
    10,404.76/14,358.60 = 5,689.02/x
  3. Step 3: Cross multiply
    10,404.76x = 14,358.60 × 5,689.02
  4. Step 4: Simplify right side
    10,404.76x = 81,686,362.57
  5. Step 5: Solve for x
    x = 81,686,362.57/10,404.76
  6. Step 6: Final answer
    x = 7,850.86

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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.