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Finding the Fourth Proportional to 10,397.64, 15,604.65 and 4,848.13

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Solution

The fourth proportional to 10,397.64, 15,604.65 and 4,848.13 is: 7,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.64 : 15,604.65 = 4,848.13 : x
  2. Step 2: Convert to fraction form
    10,397.64/15,604.65 = 4,848.13/x
  3. Step 3: Cross multiply
    10,397.64x = 15,604.65 × 4,848.13
  4. Step 4: Simplify right side
    10,397.64x = 75,653,293.78
  5. Step 5: Solve for x
    x = 75,653,293.78/10,397.64
  6. Step 6: Final answer
    x = 7,276.01

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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.