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Finding the Fourth Proportional to 7,719.30, 11,549.70 and 5,127.30

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Solution

The fourth proportional to 7,719.30, 11,549.70 and 5,127.30 is: 7,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.30 : 11,549.70 = 5,127.30 : x
  2. Step 2: Convert to fraction form
    7,719.30/11,549.70 = 5,127.30/x
  3. Step 3: Cross multiply
    7,719.30x = 11,549.70 × 5,127.30
  4. Step 4: Simplify right side
    7,719.30x = 59,218,776.81
  5. Step 5: Solve for x
    x = 59,218,776.81/7,719.30
  6. Step 6: Final answer
    x = 7,671.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.