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Finding the Fourth Proportional to 11,407.47, 17,111.25 and 3,509.93

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Solution

The fourth proportional to 11,407.47, 17,111.25 and 3,509.93 is: 5,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.47 : 17,111.25 = 3,509.93 : x
  2. Step 2: Convert to fraction form
    11,407.47/17,111.25 = 3,509.93/x
  3. Step 3: Cross multiply
    11,407.47x = 17,111.25 × 3,509.93
  4. Step 4: Simplify right side
    11,407.47x = 60,059,332.49
  5. Step 5: Solve for x
    x = 60,059,332.49/11,407.47
  6. Step 6: Final answer
    x = 5,264.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.