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Finding the Fourth Proportional to 10,447.22, 14,417.53 and 7,470.17

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Solution

The fourth proportional to 10,447.22, 14,417.53 and 7,470.17 is: 10,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.22 : 14,417.53 = 7,470.17 : x
  2. Step 2: Convert to fraction form
    10,447.22/14,417.53 = 7,470.17/x
  3. Step 3: Cross multiply
    10,447.22x = 14,417.53 × 7,470.17
  4. Step 4: Simplify right side
    10,447.22x = 107,701,362.73
  5. Step 5: Solve for x
    x = 107,701,362.73/10,447.22
  6. Step 6: Final answer
    x = 10,309.09

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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.