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Finding the Fourth Proportional to 10,482.84, 15,725.88 and 3,460.74

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Solution

The fourth proportional to 10,482.84, 15,725.88 and 3,460.74 is: 5,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.84 : 15,725.88 = 3,460.74 : x
  2. Step 2: Convert to fraction form
    10,482.84/15,725.88 = 3,460.74/x
  3. Step 3: Cross multiply
    10,482.84x = 15,725.88 × 3,460.74
  4. Step 4: Simplify right side
    10,482.84x = 54,423,181.95
  5. Step 5: Solve for x
    x = 54,423,181.95/10,482.84
  6. Step 6: Final answer
    x = 5,191.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.