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Finding the Fourth Proportional to 8,702.16, 13,055.04 and 2,859.12

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Solution

The fourth proportional to 8,702.16, 13,055.04 and 2,859.12 is: 4,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.16 : 13,055.04 = 2,859.12 : x
  2. Step 2: Convert to fraction form
    8,702.16/13,055.04 = 2,859.12/x
  3. Step 3: Cross multiply
    8,702.16x = 13,055.04 × 2,859.12
  4. Step 4: Simplify right side
    8,702.16x = 37,325,925.96
  5. Step 5: Solve for x
    x = 37,325,925.96/8,702.16
  6. Step 6: Final answer
    x = 4,289.27

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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.