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Finding the Fourth Proportional to 10,572.49, 14,596.76 and 6,599.44

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Solution

The fourth proportional to 10,572.49, 14,596.76 and 6,599.44 is: 9,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.49 : 14,596.76 = 6,599.44 : x
  2. Step 2: Convert to fraction form
    10,572.49/14,596.76 = 6,599.44/x
  3. Step 3: Cross multiply
    10,572.49x = 14,596.76 × 6,599.44
  4. Step 4: Simplify right side
    10,572.49x = 96,330,441.81
  5. Step 5: Solve for x
    x = 96,330,441.81/10,572.49
  6. Step 6: Final answer
    x = 9,111.42

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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.