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Finding the Fourth Proportional to 10,527.46, 14,526.97 and 6,743.95

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Solution

The fourth proportional to 10,527.46, 14,526.97 and 6,743.95 is: 9,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.46 : 14,526.97 = 6,743.95 : x
  2. Step 2: Convert to fraction form
    10,527.46/14,526.97 = 6,743.95/x
  3. Step 3: Cross multiply
    10,527.46x = 14,526.97 × 6,743.95
  4. Step 4: Simplify right side
    10,527.46x = 97,969,159.33
  5. Step 5: Solve for x
    x = 97,969,159.33/10,527.46
  6. Step 6: Final answer
    x = 9,306.06

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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.