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Finding the Fourth Proportional to 10,525.74, 15,748.51 and 9,359.34

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Solution

The fourth proportional to 10,525.74, 15,748.51 and 9,359.34 is: 14,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.74 : 15,748.51 = 9,359.34 : x
  2. Step 2: Convert to fraction form
    10,525.74/15,748.51 = 9,359.34/x
  3. Step 3: Cross multiply
    10,525.74x = 15,748.51 × 9,359.34
  4. Step 4: Simplify right side
    10,525.74x = 147,395,534.04
  5. Step 5: Solve for x
    x = 147,395,534.04/10,525.74
  6. Step 6: Final answer
    x = 14,003.35

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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.