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Finding the Fourth Proportional to 11,946.95, 16,484.98 and 6,910.17

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Solution

The fourth proportional to 11,946.95, 16,484.98 and 6,910.17 is: 9,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.95 : 16,484.98 = 6,910.17 : x
  2. Step 2: Convert to fraction form
    11,946.95/16,484.98 = 6,910.17/x
  3. Step 3: Cross multiply
    11,946.95x = 16,484.98 × 6,910.17
  4. Step 4: Simplify right side
    11,946.95x = 113,913,931.82
  5. Step 5: Solve for x
    x = 113,913,931.82/11,946.95
  6. Step 6: Final answer
    x = 9,534.98

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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.