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Finding the Fourth Proportional to 10,526.41, 14,526.07 and 6,333.85

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Solution

The fourth proportional to 10,526.41, 14,526.07 and 6,333.85 is: 8,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.41 : 14,526.07 = 6,333.85 : x
  2. Step 2: Convert to fraction form
    10,526.41/14,526.07 = 6,333.85/x
  3. Step 3: Cross multiply
    10,526.41x = 14,526.07 × 6,333.85
  4. Step 4: Simplify right side
    10,526.41x = 92,005,948.47
  5. Step 5: Solve for x
    x = 92,005,948.47/10,526.41
  6. Step 6: Final answer
    x = 8,740.49

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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.