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Finding the Fourth Proportional to 11,749.68, 16,211.52 and 7,275.60

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Solution

The fourth proportional to 11,749.68, 16,211.52 and 7,275.60 is: 10,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.68 : 16,211.52 = 7,275.60 : x
  2. Step 2: Convert to fraction form
    11,749.68/16,211.52 = 7,275.60/x
  3. Step 3: Cross multiply
    11,749.68x = 16,211.52 × 7,275.60
  4. Step 4: Simplify right side
    11,749.68x = 117,948,534.91
  5. Step 5: Solve for x
    x = 117,948,534.91/11,749.68
  6. Step 6: Final answer
    x = 10,038.45

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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.