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Finding the Fourth Proportional to 10,482.97, 15,724.43 and 3,087.42

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Solution

The fourth proportional to 10,482.97, 15,724.43 and 3,087.42 is: 4,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.97 : 15,724.43 = 3,087.42 : x
  2. Step 2: Convert to fraction form
    10,482.97/15,724.43 = 3,087.42/x
  3. Step 3: Cross multiply
    10,482.97x = 15,724.43 × 3,087.42
  4. Step 4: Simplify right side
    10,482.97x = 48,547,856.84
  5. Step 5: Solve for x
    x = 48,547,856.84/10,482.97
  6. Step 6: Final answer
    x = 4,631.12

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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.