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Finding the Fourth Proportional to 10,700.84, 16,050.78 and 3,305

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Solution

The fourth proportional to 10,700.84, 16,050.78 and 3,305 is: 4,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.84 : 16,050.78 = 3,305 : x
  2. Step 2: Convert to fraction form
    10,700.84/16,050.78 = 3,305/x
  3. Step 3: Cross multiply
    10,700.84x = 16,050.78 × 3,305
  4. Step 4: Simplify right side
    10,700.84x = 53,047,827.90
  5. Step 5: Solve for x
    x = 53,047,827.90/10,700.84
  6. Step 6: Final answer
    x = 4,957.35

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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.