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Finding the Fourth Proportional to 10,527.03, 14,527.38 and 5,747.01

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Solution

The fourth proportional to 10,527.03, 14,527.38 and 5,747.01 is: 7,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.03 : 14,527.38 = 5,747.01 : x
  2. Step 2: Convert to fraction form
    10,527.03/14,527.38 = 5,747.01/x
  3. Step 3: Cross multiply
    10,527.03x = 14,527.38 × 5,747.01
  4. Step 4: Simplify right side
    10,527.03x = 83,488,998.13
  5. Step 5: Solve for x
    x = 83,488,998.13/10,527.03
  6. Step 6: Final answer
    x = 7,930.92

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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.