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Finding the Fourth Proportional to 11,552.90, 15,928.53 and 9,641.46

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Solution

The fourth proportional to 11,552.90, 15,928.53 and 9,641.46 is: 13,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.90 : 15,928.53 = 9,641.46 : x
  2. Step 2: Convert to fraction form
    11,552.90/15,928.53 = 9,641.46/x
  3. Step 3: Cross multiply
    11,552.90x = 15,928.53 × 9,641.46
  4. Step 4: Simplify right side
    11,552.90x = 153,574,229.31
  5. Step 5: Solve for x
    x = 153,574,229.31/11,552.90
  6. Step 6: Final answer
    x = 13,293.14

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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.