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Finding the Fourth Proportional to 10,706.64, 16,060.02 and 2,915.52

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Solution

The fourth proportional to 10,706.64, 16,060.02 and 2,915.52 is: 4,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.64 : 16,060.02 = 2,915.52 : x
  2. Step 2: Convert to fraction form
    10,706.64/16,060.02 = 2,915.52/x
  3. Step 3: Cross multiply
    10,706.64x = 16,060.02 × 2,915.52
  4. Step 4: Simplify right side
    10,706.64x = 46,823,309.51
  5. Step 5: Solve for x
    x = 46,823,309.51/10,706.64
  6. Step 6: Final answer
    x = 4,373.30

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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.