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Finding the Fourth Proportional to 10,601.86, 14,636.04 and 7,472.02

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Solution

The fourth proportional to 10,601.86, 14,636.04 and 7,472.02 is: 10,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.86 : 14,636.04 = 7,472.02 : x
  2. Step 2: Convert to fraction form
    10,601.86/14,636.04 = 7,472.02/x
  3. Step 3: Cross multiply
    10,601.86x = 14,636.04 × 7,472.02
  4. Step 4: Simplify right side
    10,601.86x = 109,360,783.60
  5. Step 5: Solve for x
    x = 109,360,783.60/10,601.86
  6. Step 6: Final answer
    x = 10,315.25

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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.