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Finding the Fourth Proportional to 10,525.69, 14,525.49 and 6,490.86

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Solution

The fourth proportional to 10,525.69, 14,525.49 and 6,490.86 is: 8,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.69 : 14,525.49 = 6,490.86 : x
  2. Step 2: Convert to fraction form
    10,525.69/14,525.49 = 6,490.86/x
  3. Step 3: Cross multiply
    10,525.69x = 14,525.49 × 6,490.86
  4. Step 4: Simplify right side
    10,525.69x = 94,282,922.02
  5. Step 5: Solve for x
    x = 94,282,922.02/10,525.69
  6. Step 6: Final answer
    x = 8,957.41

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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.