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Finding the Fourth Proportional to 10,946.98, 15,103.83 and 6,468.76

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Solution

The fourth proportional to 10,946.98, 15,103.83 and 6,468.76 is: 8,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.98 : 15,103.83 = 6,468.76 : x
  2. Step 2: Convert to fraction form
    10,946.98/15,103.83 = 6,468.76/x
  3. Step 3: Cross multiply
    10,946.98x = 15,103.83 × 6,468.76
  4. Step 4: Simplify right side
    10,946.98x = 97,703,051.35
  5. Step 5: Solve for x
    x = 97,703,051.35/10,946.98
  6. Step 6: Final answer
    x = 8,925.11

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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.