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Finding the Fourth Proportional to 10,772.96, 14,866.36 and 6,526.53

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Solution

The fourth proportional to 10,772.96, 14,866.36 and 6,526.53 is: 9,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.96 : 14,866.36 = 6,526.53 : x
  2. Step 2: Convert to fraction form
    10,772.96/14,866.36 = 6,526.53/x
  3. Step 3: Cross multiply
    10,772.96x = 14,866.36 × 6,526.53
  4. Step 4: Simplify right side
    10,772.96x = 97,025,728.21
  5. Step 5: Solve for x
    x = 97,025,728.21/10,772.96
  6. Step 6: Final answer
    x = 9,006.42

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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.