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Finding the Fourth Proportional to 7,543.36, 11,312.64 and 3,160

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Solution

The fourth proportional to 7,543.36, 11,312.64 and 3,160 is: 4,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.36 : 11,312.64 = 3,160 : x
  2. Step 2: Convert to fraction form
    7,543.36/11,312.64 = 3,160/x
  3. Step 3: Cross multiply
    7,543.36x = 11,312.64 × 3,160
  4. Step 4: Simplify right side
    7,543.36x = 35,747,942.40
  5. Step 5: Solve for x
    x = 35,747,942.40/7,543.36
  6. Step 6: Final answer
    x = 4,738.99

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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.