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Finding the Fourth Proportional to 10,425, 14,386.52 and 5,644.95

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Solution

The fourth proportional to 10,425, 14,386.52 and 5,644.95 is: 7,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 14,386.52 = 5,644.95 : x
  2. Step 2: Convert to fraction form
    10,425/14,386.52 = 5,644.95/x
  3. Step 3: Cross multiply
    10,425x = 14,386.52 × 5,644.95
  4. Step 4: Simplify right side
    10,425x = 81,211,186.07
  5. Step 5: Solve for x
    x = 81,211,186.07/10,425
  6. Step 6: Final answer
    x = 7,790.04

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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.