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Finding the Fourth Proportional to 10,389.75, 14,332.86 and 7,552.72

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Solution

The fourth proportional to 10,389.75, 14,332.86 and 7,552.72 is: 10,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.75 : 14,332.86 = 7,552.72 : x
  2. Step 2: Convert to fraction form
    10,389.75/14,332.86 = 7,552.72/x
  3. Step 3: Cross multiply
    10,389.75x = 14,332.86 × 7,552.72
  4. Step 4: Simplify right side
    10,389.75x = 108,252,078.38
  5. Step 5: Solve for x
    x = 108,252,078.38/10,389.75
  6. Step 6: Final answer
    x = 10,419.12

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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.