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Finding the Fourth Proportional to 7,848.59, 10,830.86 and 4,311.72

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Solution

The fourth proportional to 7,848.59, 10,830.86 and 4,311.72 is: 5,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.59 : 10,830.86 = 4,311.72 : x
  2. Step 2: Convert to fraction form
    7,848.59/10,830.86 = 4,311.72/x
  3. Step 3: Cross multiply
    7,848.59x = 10,830.86 × 4,311.72
  4. Step 4: Simplify right side
    7,848.59x = 46,699,614.12
  5. Step 5: Solve for x
    x = 46,699,614.12/7,848.59
  6. Step 6: Final answer
    x = 5,950.07

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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.