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Finding the Fourth Proportional to 10,392.12, 15,593 and 4,547.96

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Solution

The fourth proportional to 10,392.12, 15,593 and 4,547.96 is: 6,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.12 : 15,593 = 4,547.96 : x
  2. Step 2: Convert to fraction form
    10,392.12/15,593 = 4,547.96/x
  3. Step 3: Cross multiply
    10,392.12x = 15,593 × 4,547.96
  4. Step 4: Simplify right side
    10,392.12x = 70,916,340.28
  5. Step 5: Solve for x
    x = 70,916,340.28/10,392.12
  6. Step 6: Final answer
    x = 6,824.05

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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.