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Finding the Fourth Proportional to 10,702.92, 16,057.92 and 4,779.12

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Solution

The fourth proportional to 10,702.92, 16,057.92 and 4,779.12 is: 7,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.92 : 16,057.92 = 4,779.12 : x
  2. Step 2: Convert to fraction form
    10,702.92/16,057.92 = 4,779.12/x
  3. Step 3: Cross multiply
    10,702.92x = 16,057.92 × 4,779.12
  4. Step 4: Simplify right side
    10,702.92x = 76,742,726.63
  5. Step 5: Solve for x
    x = 76,742,726.63/10,702.92
  6. Step 6: Final answer
    x = 7,170.26

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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.