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Finding the Fourth Proportional to 7,838.02, 10,803 and 7,468.93

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Solution

The fourth proportional to 7,838.02, 10,803 and 7,468.93 is: 10,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.02 : 10,803 = 7,468.93 : x
  2. Step 2: Convert to fraction form
    7,838.02/10,803 = 7,468.93/x
  3. Step 3: Cross multiply
    7,838.02x = 10,803 × 7,468.93
  4. Step 4: Simplify right side
    7,838.02x = 80,686,850.79
  5. Step 5: Solve for x
    x = 80,686,850.79/7,838.02
  6. Step 6: Final answer
    x = 10,294.29

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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.