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Finding the Fourth Proportional to 7,848.29, 10,830.71 and 4,311.63

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Solution

The fourth proportional to 7,848.29, 10,830.71 and 4,311.63 is: 5,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.29 : 10,830.71 = 4,311.63 : x
  2. Step 2: Convert to fraction form
    7,848.29/10,830.71 = 4,311.63/x
  3. Step 3: Cross multiply
    7,848.29x = 10,830.71 × 4,311.63
  4. Step 4: Simplify right side
    7,848.29x = 46,698,024.94
  5. Step 5: Solve for x
    x = 46,698,024.94/7,848.29
  6. Step 6: Final answer
    x = 5,950.09

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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.