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Finding the Fourth Proportional to 10,606.61, 14,627.33 and 7,208.71

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Solution

The fourth proportional to 10,606.61, 14,627.33 and 7,208.71 is: 9,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.61 : 14,627.33 = 7,208.71 : x
  2. Step 2: Convert to fraction form
    10,606.61/14,627.33 = 7,208.71/x
  3. Step 3: Cross multiply
    10,606.61x = 14,627.33 × 7,208.71
  4. Step 4: Simplify right side
    10,606.61x = 105,444,133.94
  5. Step 5: Solve for x
    x = 105,444,133.94/10,606.61
  6. Step 6: Final answer
    x = 9,941.37

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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.