Home / 10,569.23-15,854-5,023.14

Finding the Fourth Proportional to 10,569.23, 15,854 and 5,023.14

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Solution

The fourth proportional to 10,569.23, 15,854 and 5,023.14 is: 7,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.23 : 15,854 = 5,023.14 : x
  2. Step 2: Convert to fraction form
    10,569.23/15,854 = 5,023.14/x
  3. Step 3: Cross multiply
    10,569.23x = 15,854 × 5,023.14
  4. Step 4: Simplify right side
    10,569.23x = 79,636,861.56
  5. Step 5: Solve for x
    x = 79,636,861.56/10,569.23
  6. Step 6: Final answer
    x = 7,534.78

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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.