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Finding the Fourth Proportional to 10,702.66, 16,053.93 and 2,911.45

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Solution

The fourth proportional to 10,702.66, 16,053.93 and 2,911.45 is: 4,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.66 : 16,053.93 = 2,911.45 : x
  2. Step 2: Convert to fraction form
    10,702.66/16,053.93 = 2,911.45/x
  3. Step 3: Cross multiply
    10,702.66x = 16,053.93 × 2,911.45
  4. Step 4: Simplify right side
    10,702.66x = 46,740,214.50
  5. Step 5: Solve for x
    x = 46,740,214.50/10,702.66
  6. Step 6: Final answer
    x = 4,367.16

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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.