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Finding the Fourth Proportional to 11,603.25, 16,016.13 and 7,411.50

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Solution

The fourth proportional to 11,603.25, 16,016.13 and 7,411.50 is: 10,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.25 : 16,016.13 = 7,411.50 : x
  2. Step 2: Convert to fraction form
    11,603.25/16,016.13 = 7,411.50/x
  3. Step 3: Cross multiply
    11,603.25x = 16,016.13 × 7,411.50
  4. Step 4: Simplify right side
    11,603.25x = 118,703,547.50
  5. Step 5: Solve for x
    x = 118,703,547.50/11,603.25
  6. Step 6: Final answer
    x = 10,230.20

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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.