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Finding the Fourth Proportional to 7,753.02, 10,703.14 and 5,248.38

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Solution

The fourth proportional to 7,753.02, 10,703.14 and 5,248.38 is: 7,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.02 : 10,703.14 = 5,248.38 : x
  2. Step 2: Convert to fraction form
    7,753.02/10,703.14 = 5,248.38/x
  3. Step 3: Cross multiply
    7,753.02x = 10,703.14 × 5,248.38
  4. Step 4: Simplify right side
    7,753.02x = 56,174,145.91
  5. Step 5: Solve for x
    x = 56,174,145.91/7,753.02
  6. Step 6: Final answer
    x = 7,245.45

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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.