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Finding the Fourth Proportional to 10,832.90, 14,956.35 and 8,848.22

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Solution

The fourth proportional to 10,832.90, 14,956.35 and 8,848.22 is: 12,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.90 : 14,956.35 = 8,848.22 : x
  2. Step 2: Convert to fraction form
    10,832.90/14,956.35 = 8,848.22/x
  3. Step 3: Cross multiply
    10,832.90x = 14,956.35 × 8,848.22
  4. Step 4: Simplify right side
    10,832.90x = 132,337,075.20
  5. Step 5: Solve for x
    x = 132,337,075.20/10,832.90
  6. Step 6: Final answer
    x = 12,216.22

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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.