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Finding the Fourth Proportional to 10,458.98, 14,433.41 and 5,678.93

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Solution

The fourth proportional to 10,458.98, 14,433.41 and 5,678.93 is: 7,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.98 : 14,433.41 = 5,678.93 : x
  2. Step 2: Convert to fraction form
    10,458.98/14,433.41 = 5,678.93/x
  3. Step 3: Cross multiply
    10,458.98x = 14,433.41 × 5,678.93
  4. Step 4: Simplify right side
    10,458.98x = 81,966,224.49
  5. Step 5: Solve for x
    x = 81,966,224.49/10,458.98
  6. Step 6: Final answer
    x = 7,836.93

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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.