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Finding the Fourth Proportional to 10,605.48, 14,638.92 and 7,470.84

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Solution

The fourth proportional to 10,605.48, 14,638.92 and 7,470.84 is: 10,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.48 : 14,638.92 = 7,470.84 : x
  2. Step 2: Convert to fraction form
    10,605.48/14,638.92 = 7,470.84/x
  3. Step 3: Cross multiply
    10,605.48x = 14,638.92 × 7,470.84
  4. Step 4: Simplify right side
    10,605.48x = 109,365,029.09
  5. Step 5: Solve for x
    x = 109,365,029.09/10,605.48
  6. Step 6: Final answer
    x = 10,312.12

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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.