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Finding the Fourth Proportional to 10,501.65, 14,494.75 and 6,525.77

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Solution

The fourth proportional to 10,501.65, 14,494.75 and 6,525.77 is: 9,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.65 : 14,494.75 = 6,525.77 : x
  2. Step 2: Convert to fraction form
    10,501.65/14,494.75 = 6,525.77/x
  3. Step 3: Cross multiply
    10,501.65x = 14,494.75 × 6,525.77
  4. Step 4: Simplify right side
    10,501.65x = 94,589,315.92
  5. Step 5: Solve for x
    x = 94,589,315.92/10,501.65
  6. Step 6: Final answer
    x = 9,007.09

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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.