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Finding the Fourth Proportional to 10,528, 14,528.41 and 5,747.78

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Solution

The fourth proportional to 10,528, 14,528.41 and 5,747.78 is: 7,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528 : 14,528.41 = 5,747.78 : x
  2. Step 2: Convert to fraction form
    10,528/14,528.41 = 5,747.78/x
  3. Step 3: Cross multiply
    10,528x = 14,528.41 × 5,747.78
  4. Step 4: Simplify right side
    10,528x = 83,506,104.43
  5. Step 5: Solve for x
    x = 83,506,104.43/10,528
  6. Step 6: Final answer
    x = 7,931.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.