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Finding the Fourth Proportional to 10,374.66, 15,525.45 and 8,931.24

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Solution

The fourth proportional to 10,374.66, 15,525.45 and 8,931.24 is: 13,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.66 : 15,525.45 = 8,931.24 : x
  2. Step 2: Convert to fraction form
    10,374.66/15,525.45 = 8,931.24/x
  3. Step 3: Cross multiply
    10,374.66x = 15,525.45 × 8,931.24
  4. Step 4: Simplify right side
    10,374.66x = 138,661,520.06
  5. Step 5: Solve for x
    x = 138,661,520.06/10,374.66
  6. Step 6: Final answer
    x = 13,365.40

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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.