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Finding the Fourth Proportional to 10,051.57, 13,870.74 and 5,575.51

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Solution

The fourth proportional to 10,051.57, 13,870.74 and 5,575.51 is: 7,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.57 : 13,870.74 = 5,575.51 : x
  2. Step 2: Convert to fraction form
    10,051.57/13,870.74 = 5,575.51/x
  3. Step 3: Cross multiply
    10,051.57x = 13,870.74 × 5,575.51
  4. Step 4: Simplify right side
    10,051.57x = 77,336,449.58
  5. Step 5: Solve for x
    x = 77,336,449.58/10,051.57
  6. Step 6: Final answer
    x = 7,693.97

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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.