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Finding the Fourth Proportional to 7,493.16, 10,340.60 and 4,136

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Solution

The fourth proportional to 7,493.16, 10,340.60 and 4,136 is: 5,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.16 : 10,340.60 = 4,136 : x
  2. Step 2: Convert to fraction form
    7,493.16/10,340.60 = 4,136/x
  3. Step 3: Cross multiply
    7,493.16x = 10,340.60 × 4,136
  4. Step 4: Simplify right side
    7,493.16x = 42,768,721.60
  5. Step 5: Solve for x
    x = 42,768,721.60/7,493.16
  6. Step 6: Final answer
    x = 5,707.70

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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.