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Finding the Fourth Proportional to 10,522.20, 14,525.42 and 6,746.79

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Solution

The fourth proportional to 10,522.20, 14,525.42 and 6,746.79 is: 9,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.20 : 14,525.42 = 6,746.79 : x
  2. Step 2: Convert to fraction form
    10,522.20/14,525.42 = 6,746.79/x
  3. Step 3: Cross multiply
    10,522.20x = 14,525.42 × 6,746.79
  4. Step 4: Simplify right side
    10,522.20x = 97,999,924.67
  5. Step 5: Solve for x
    x = 97,999,924.67/10,522.20
  6. Step 6: Final answer
    x = 9,313.63

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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.