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Finding the Fourth Proportional to 11,813.88, 16,303.13 and 6,508.70

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Solution

The fourth proportional to 11,813.88, 16,303.13 and 6,508.70 is: 8,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.88 : 16,303.13 = 6,508.70 : x
  2. Step 2: Convert to fraction form
    11,813.88/16,303.13 = 6,508.70/x
  3. Step 3: Cross multiply
    11,813.88x = 16,303.13 × 6,508.70
  4. Step 4: Simplify right side
    11,813.88x = 106,112,068.17
  5. Step 5: Solve for x
    x = 106,112,068.17/11,813.88
  6. Step 6: Final answer
    x = 8,981.98

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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.