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Finding the Fourth Proportional to 10,618.34, 14,657.76 and 7,169.56

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Solution

The fourth proportional to 10,618.34, 14,657.76 and 7,169.56 is: 9,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.34 : 14,657.76 = 7,169.56 : x
  2. Step 2: Convert to fraction form
    10,618.34/14,657.76 = 7,169.56/x
  3. Step 3: Cross multiply
    10,618.34x = 14,657.76 × 7,169.56
  4. Step 4: Simplify right side
    10,618.34x = 105,089,735.59
  5. Step 5: Solve for x
    x = 105,089,735.59/10,618.34
  6. Step 6: Final answer
    x = 9,897.00

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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.