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Finding the Fourth Proportional to 10,721.32, 14,798.40 and 7,535.32

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Solution

The fourth proportional to 10,721.32, 14,798.40 and 7,535.32 is: 10,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.32 : 14,798.40 = 7,535.32 : x
  2. Step 2: Convert to fraction form
    10,721.32/14,798.40 = 7,535.32/x
  3. Step 3: Cross multiply
    10,721.32x = 14,798.40 × 7,535.32
  4. Step 4: Simplify right side
    10,721.32x = 111,510,614.23
  5. Step 5: Solve for x
    x = 111,510,614.23/10,721.32
  6. Step 6: Final answer
    x = 10,400.83

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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.