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Finding the Fourth Proportional to 10,701.52, 16,046.51 and 3,303.99

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Solution

The fourth proportional to 10,701.52, 16,046.51 and 3,303.99 is: 4,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.52 : 16,046.51 = 3,303.99 : x
  2. Step 2: Convert to fraction form
    10,701.52/16,046.51 = 3,303.99/x
  3. Step 3: Cross multiply
    10,701.52x = 16,046.51 × 3,303.99
  4. Step 4: Simplify right side
    10,701.52x = 53,017,492.05
  5. Step 5: Solve for x
    x = 53,017,492.05/10,701.52
  6. Step 6: Final answer
    x = 4,954.20

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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.