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Finding the Fourth Proportional to 10,702.16, 14,765.64 and 6,508.88

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Solution

The fourth proportional to 10,702.16, 14,765.64 and 6,508.88 is: 8,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.16 : 14,765.64 = 6,508.88 : x
  2. Step 2: Convert to fraction form
    10,702.16/14,765.64 = 6,508.88/x
  3. Step 3: Cross multiply
    10,702.16x = 14,765.64 × 6,508.88
  4. Step 4: Simplify right side
    10,702.16x = 96,107,778.88
  5. Step 5: Solve for x
    x = 96,107,778.88/10,702.16
  6. Step 6: Final answer
    x = 8,980.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.