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Finding the Fourth Proportional to 10,051.74, 13,870.76 and 5,575.24

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Solution

The fourth proportional to 10,051.74, 13,870.76 and 5,575.24 is: 7,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.74 : 13,870.76 = 5,575.24 : x
  2. Step 2: Convert to fraction form
    10,051.74/13,870.76 = 5,575.24/x
  3. Step 3: Cross multiply
    10,051.74x = 13,870.76 × 5,575.24
  4. Step 4: Simplify right side
    10,051.74x = 77,332,815.98
  5. Step 5: Solve for x
    x = 77,332,815.98/10,051.74
  6. Step 6: Final answer
    x = 7,693.48

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