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Finding the Fourth Proportional to 10,523.52, 15,804.66 and 7,063.20

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Solution

The fourth proportional to 10,523.52, 15,804.66 and 7,063.20 is: 10,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.52 : 15,804.66 = 7,063.20 : x
  2. Step 2: Convert to fraction form
    10,523.52/15,804.66 = 7,063.20/x
  3. Step 3: Cross multiply
    10,523.52x = 15,804.66 × 7,063.20
  4. Step 4: Simplify right side
    10,523.52x = 111,631,474.51
  5. Step 5: Solve for x
    x = 111,631,474.51/10,523.52
  6. Step 6: Final answer
    x = 10,607.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.