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Finding the Fourth Proportional to 6,145.60, 8,496.72 and 5,358.40

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Solution

The fourth proportional to 6,145.60, 8,496.72 and 5,358.40 is: 7,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.60 : 8,496.72 = 5,358.40 : x
  2. Step 2: Convert to fraction form
    6,145.60/8,496.72 = 5,358.40/x
  3. Step 3: Cross multiply
    6,145.60x = 8,496.72 × 5,358.40
  4. Step 4: Simplify right side
    6,145.60x = 45,528,824.45
  5. Step 5: Solve for x
    x = 45,528,824.45/6,145.60
  6. Step 6: Final answer
    x = 7,408.36

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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.