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Finding the Fourth Proportional to 7,143.59, 9,858.75 and 4,159.69

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Solution

The fourth proportional to 7,143.59, 9,858.75 and 4,159.69 is: 5,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.59 : 9,858.75 = 4,159.69 : x
  2. Step 2: Convert to fraction form
    7,143.59/9,858.75 = 4,159.69/x
  3. Step 3: Cross multiply
    7,143.59x = 9,858.75 × 4,159.69
  4. Step 4: Simplify right side
    7,143.59x = 41,009,303.54
  5. Step 5: Solve for x
    x = 41,009,303.54/7,143.59
  6. Step 6: Final answer
    x = 5,740.71

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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.