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Finding the Fourth Proportional to 11,054.72, 16,501.16 and 9,742.52

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Solution

The fourth proportional to 11,054.72, 16,501.16 and 9,742.52 is: 14,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.72 : 16,501.16 = 9,742.52 : x
  2. Step 2: Convert to fraction form
    11,054.72/16,501.16 = 9,742.52/x
  3. Step 3: Cross multiply
    11,054.72x = 16,501.16 × 9,742.52
  4. Step 4: Simplify right side
    11,054.72x = 160,762,881.32
  5. Step 5: Solve for x
    x = 160,762,881.32/11,054.72
  6. Step 6: Final answer
    x = 14,542.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.