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Finding the Fourth Proportional to 11,603.40, 16,012.48 and 6,298.16

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Solution

The fourth proportional to 11,603.40, 16,012.48 and 6,298.16 is: 8,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.40 : 16,012.48 = 6,298.16 : x
  2. Step 2: Convert to fraction form
    11,603.40/16,012.48 = 6,298.16/x
  3. Step 3: Cross multiply
    11,603.40x = 16,012.48 × 6,298.16
  4. Step 4: Simplify right side
    11,603.40x = 100,849,161.04
  5. Step 5: Solve for x
    x = 100,849,161.04/11,603.40
  6. Step 6: Final answer
    x = 8,691.35

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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.