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Finding the Fourth Proportional to 10,041.70, 13,857.65 and 5,565.54

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Solution

The fourth proportional to 10,041.70, 13,857.65 and 5,565.54 is: 7,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.70 : 13,857.65 = 5,565.54 : x
  2. Step 2: Convert to fraction form
    10,041.70/13,857.65 = 5,565.54/x
  3. Step 3: Cross multiply
    10,041.70x = 13,857.65 × 5,565.54
  4. Step 4: Simplify right side
    10,041.70x = 77,125,305.38
  5. Step 5: Solve for x
    x = 77,125,305.38/10,041.70
  6. Step 6: Final answer
    x = 7,680.50

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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.