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Finding the Fourth Proportional to 10,528, 14,527.95 and 5,812.24

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Solution

The fourth proportional to 10,528, 14,527.95 and 5,812.24 is: 8,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528 : 14,527.95 = 5,812.24 : x
  2. Step 2: Convert to fraction form
    10,528/14,527.95 = 5,812.24/x
  3. Step 3: Cross multiply
    10,528x = 14,527.95 × 5,812.24
  4. Step 4: Simplify right side
    10,528x = 84,439,932.11
  5. Step 5: Solve for x
    x = 84,439,932.11/10,528
  6. Step 6: Final answer
    x = 8,020.51

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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.