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Finding the Fourth Proportional to 10,472.47, 14,438.53 and 8,577.07

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Solution

The fourth proportional to 10,472.47, 14,438.53 and 8,577.07 is: 11,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.47 : 14,438.53 = 8,577.07 : x
  2. Step 2: Convert to fraction form
    10,472.47/14,438.53 = 8,577.07/x
  3. Step 3: Cross multiply
    10,472.47x = 14,438.53 × 8,577.07
  4. Step 4: Simplify right side
    10,472.47x = 123,840,282.51
  5. Step 5: Solve for x
    x = 123,840,282.51/10,472.47
  6. Step 6: Final answer
    x = 11,825.32

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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.