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Finding the Fourth Proportional to 10,955.52, 16,416 and 6,575.04

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Solution

The fourth proportional to 10,955.52, 16,416 and 6,575.04 is: 9,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.52 : 16,416 = 6,575.04 : x
  2. Step 2: Convert to fraction form
    10,955.52/16,416 = 6,575.04/x
  3. Step 3: Cross multiply
    10,955.52x = 16,416 × 6,575.04
  4. Step 4: Simplify right side
    10,955.52x = 107,935,856.64
  5. Step 5: Solve for x
    x = 107,935,856.64/10,955.52
  6. Step 6: Final answer
    x = 9,852.19

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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.