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Finding the Fourth Proportional to 10,454.94, 15,757.56 and 9,011.52

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Solution

The fourth proportional to 10,454.94, 15,757.56 and 9,011.52 is: 13,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.94 : 15,757.56 = 9,011.52 : x
  2. Step 2: Convert to fraction form
    10,454.94/15,757.56 = 9,011.52/x
  3. Step 3: Cross multiply
    10,454.94x = 15,757.56 × 9,011.52
  4. Step 4: Simplify right side
    10,454.94x = 141,999,567.09
  5. Step 5: Solve for x
    x = 141,999,567.09/10,454.94
  6. Step 6: Final answer
    x = 13,582.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.