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Finding the Fourth Proportional to 10,415.73, 14,373.57 and 5,700

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Solution

The fourth proportional to 10,415.73, 14,373.57 and 5,700 is: 7,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.73 : 14,373.57 = 5,700 : x
  2. Step 2: Convert to fraction form
    10,415.73/14,373.57 = 5,700/x
  3. Step 3: Cross multiply
    10,415.73x = 14,373.57 × 5,700
  4. Step 4: Simplify right side
    10,415.73x = 81,929,349
  5. Step 5: Solve for x
    x = 81,929,349/10,415.73
  6. Step 6: Final answer
    x = 7,865.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.