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Finding the Fourth Proportional to 7,146.96, 10,720.44 and 4,697.28

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Solution

The fourth proportional to 7,146.96, 10,720.44 and 4,697.28 is: 7,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.96 : 10,720.44 = 4,697.28 : x
  2. Step 2: Convert to fraction form
    7,146.96/10,720.44 = 4,697.28/x
  3. Step 3: Cross multiply
    7,146.96x = 10,720.44 × 4,697.28
  4. Step 4: Simplify right side
    7,146.96x = 50,356,908.40
  5. Step 5: Solve for x
    x = 50,356,908.40/7,146.96
  6. Step 6: Final answer
    x = 7,045.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.