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Finding the Fourth Proportional to 10,525.84, 14,522.28 and 6,989.76

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Solution

The fourth proportional to 10,525.84, 14,522.28 and 6,989.76 is: 9,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.84 : 14,522.28 = 6,989.76 : x
  2. Step 2: Convert to fraction form
    10,525.84/14,522.28 = 6,989.76/x
  3. Step 3: Cross multiply
    10,525.84x = 14,522.28 × 6,989.76
  4. Step 4: Simplify right side
    10,525.84x = 101,507,251.85
  5. Step 5: Solve for x
    x = 101,507,251.85/10,525.84
  6. Step 6: Final answer
    x = 9,643.62

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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.