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Finding the Fourth Proportional to 10,505.32, 14,496.78 and 6,526.36

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Solution

The fourth proportional to 10,505.32, 14,496.78 and 6,526.36 is: 9,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.32 : 14,496.78 = 6,526.36 : x
  2. Step 2: Convert to fraction form
    10,505.32/14,496.78 = 6,526.36/x
  3. Step 3: Cross multiply
    10,505.32x = 14,496.78 × 6,526.36
  4. Step 4: Simplify right side
    10,505.32x = 94,611,205.12
  5. Step 5: Solve for x
    x = 94,611,205.12/10,505.32
  6. Step 6: Final answer
    x = 9,006.03

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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.