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Finding the Fourth Proportional to 10,304.64, 14,220.95 and 6,526.42

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Solution

The fourth proportional to 10,304.64, 14,220.95 and 6,526.42 is: 9,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.64 : 14,220.95 = 6,526.42 : x
  2. Step 2: Convert to fraction form
    10,304.64/14,220.95 = 6,526.42/x
  3. Step 3: Cross multiply
    10,304.64x = 14,220.95 × 6,526.42
  4. Step 4: Simplify right side
    10,304.64x = 92,811,824.31
  5. Step 5: Solve for x
    x = 92,811,824.31/10,304.64
  6. Step 6: Final answer
    x = 9,006.80

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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.