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Finding the Fourth Proportional to 10,526.49, 14,520.24 and 7,690.40

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Solution

The fourth proportional to 10,526.49, 14,520.24 and 7,690.40 is: 10,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.49 : 14,520.24 = 7,690.40 : x
  2. Step 2: Convert to fraction form
    10,526.49/14,520.24 = 7,690.40/x
  3. Step 3: Cross multiply
    10,526.49x = 14,520.24 × 7,690.40
  4. Step 4: Simplify right side
    10,526.49x = 111,666,453.70
  5. Step 5: Solve for x
    x = 111,666,453.70/10,526.49
  6. Step 6: Final answer
    x = 10,608.14

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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.