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Finding the Fourth Proportional to 10,495.22, 15,764.70 and 8,854.98

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Solution

The fourth proportional to 10,495.22, 15,764.70 and 8,854.98 is: 13,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.22 : 15,764.70 = 8,854.98 : x
  2. Step 2: Convert to fraction form
    10,495.22/15,764.70 = 8,854.98/x
  3. Step 3: Cross multiply
    10,495.22x = 15,764.70 × 8,854.98
  4. Step 4: Simplify right side
    10,495.22x = 139,596,103.21
  5. Step 5: Solve for x
    x = 139,596,103.21/10,495.22
  6. Step 6: Final answer
    x = 13,300.92

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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.