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Finding the Fourth Proportional to 11,603.89, 16,013.47 and 6,823.93

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Solution

The fourth proportional to 11,603.89, 16,013.47 and 6,823.93 is: 9,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.89 : 16,013.47 = 6,823.93 : x
  2. Step 2: Convert to fraction form
    11,603.89/16,013.47 = 6,823.93/x
  3. Step 3: Cross multiply
    11,603.89x = 16,013.47 × 6,823.93
  4. Step 4: Simplify right side
    11,603.89x = 109,274,684.15
  5. Step 5: Solve for x
    x = 109,274,684.15/11,603.89
  6. Step 6: Final answer
    x = 9,417.07

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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.