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Finding the Fourth Proportional to 10,477.52, 14,447.17 and 7,639.89

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Solution

The fourth proportional to 10,477.52, 14,447.17 and 7,639.89 is: 10,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.52 : 14,447.17 = 7,639.89 : x
  2. Step 2: Convert to fraction form
    10,477.52/14,447.17 = 7,639.89/x
  3. Step 3: Cross multiply
    10,477.52x = 14,447.17 × 7,639.89
  4. Step 4: Simplify right side
    10,477.52x = 110,374,799.16
  5. Step 5: Solve for x
    x = 110,374,799.16/10,477.52
  6. Step 6: Final answer
    x = 10,534.44

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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.