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Finding the Fourth Proportional to 10,528, 15,792.06 and 3,602.56

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Solution

The fourth proportional to 10,528, 15,792.06 and 3,602.56 is: 5,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528 : 15,792.06 = 3,602.56 : x
  2. Step 2: Convert to fraction form
    10,528/15,792.06 = 3,602.56/x
  3. Step 3: Cross multiply
    10,528x = 15,792.06 × 3,602.56
  4. Step 4: Simplify right side
    10,528x = 56,891,843.67
  5. Step 5: Solve for x
    x = 56,891,843.67/10,528
  6. Step 6: Final answer
    x = 5,403.86

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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.