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Finding the Fourth Proportional to 10,525.68, 14,530.71 and 6,548.07

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Solution

The fourth proportional to 10,525.68, 14,530.71 and 6,548.07 is: 9,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.68 : 14,530.71 = 6,548.07 : x
  2. Step 2: Convert to fraction form
    10,525.68/14,530.71 = 6,548.07/x
  3. Step 3: Cross multiply
    10,525.68x = 14,530.71 × 6,548.07
  4. Step 4: Simplify right side
    10,525.68x = 95,148,106.23
  5. Step 5: Solve for x
    x = 95,148,106.23/10,525.68
  6. Step 6: Final answer
    x = 9,039.62

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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.