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Finding the Fourth Proportional to 10,560.80, 15,836.40 and 4,714.40

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Solution

The fourth proportional to 10,560.80, 15,836.40 and 4,714.40 is: 7,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.80 : 15,836.40 = 4,714.40 : x
  2. Step 2: Convert to fraction form
    10,560.80/15,836.40 = 4,714.40/x
  3. Step 3: Cross multiply
    10,560.80x = 15,836.40 × 4,714.40
  4. Step 4: Simplify right side
    10,560.80x = 74,659,124.16
  5. Step 5: Solve for x
    x = 74,659,124.16/10,560.80
  6. Step 6: Final answer
    x = 7,069.46

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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.