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Finding the Fourth Proportional to 10,527.42, 15,788.02 and 8,673.94

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Solution

The fourth proportional to 10,527.42, 15,788.02 and 8,673.94 is: 13,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.42 : 15,788.02 = 8,673.94 : x
  2. Step 2: Convert to fraction form
    10,527.42/15,788.02 = 8,673.94/x
  3. Step 3: Cross multiply
    10,527.42x = 15,788.02 × 8,673.94
  4. Step 4: Simplify right side
    10,527.42x = 136,944,338.20
  5. Step 5: Solve for x
    x = 136,944,338.20/10,527.42
  6. Step 6: Final answer
    x = 13,008.35

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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.