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Finding the Fourth Proportional to 10,515.84, 15,776.60 and 3,497.00

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Solution

The fourth proportional to 10,515.84, 15,776.60 and 3,497.00 is: 5,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.84 : 15,776.60 = 3,497.00 : x
  2. Step 2: Convert to fraction form
    10,515.84/15,776.60 = 3,497.00/x
  3. Step 3: Cross multiply
    10,515.84x = 15,776.60 × 3,497.00
  4. Step 4: Simplify right side
    10,515.84x = 55,170,673.83
  5. Step 5: Solve for x
    x = 55,170,673.83/10,515.84
  6. Step 6: Final answer
    x = 5,246.44

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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.