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Finding the Fourth Proportional to 10,522.85, 14,518.14 and 6,986.76

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Solution

The fourth proportional to 10,522.85, 14,518.14 and 6,986.76 is: 9,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.85 : 14,518.14 = 6,986.76 : x
  2. Step 2: Convert to fraction form
    10,522.85/14,518.14 = 6,986.76/x
  3. Step 3: Cross multiply
    10,522.85x = 14,518.14 × 6,986.76
  4. Step 4: Simplify right side
    10,522.85x = 101,434,679.18
  5. Step 5: Solve for x
    x = 101,434,679.18/10,522.85
  6. Step 6: Final answer
    x = 9,639.47

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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.