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Finding the Fourth Proportional to 10,772.72, 14,862.78 and 8,779.85

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Solution

The fourth proportional to 10,772.72, 14,862.78 and 8,779.85 is: 12,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.72 : 14,862.78 = 8,779.85 : x
  2. Step 2: Convert to fraction form
    10,772.72/14,862.78 = 8,779.85/x
  3. Step 3: Cross multiply
    10,772.72x = 14,862.78 × 8,779.85
  4. Step 4: Simplify right side
    10,772.72x = 130,492,978.98
  5. Step 5: Solve for x
    x = 130,492,978.98/10,772.72
  6. Step 6: Final answer
    x = 12,113.28

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