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Finding the Fourth Proportional to 8,103.10, 11,185.05 and 4,746.98

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Solution

The fourth proportional to 8,103.10, 11,185.05 and 4,746.98 is: 6,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.10 : 11,185.05 = 4,746.98 : x
  2. Step 2: Convert to fraction form
    8,103.10/11,185.05 = 4,746.98/x
  3. Step 3: Cross multiply
    8,103.10x = 11,185.05 × 4,746.98
  4. Step 4: Simplify right side
    8,103.10x = 53,095,184.91
  5. Step 5: Solve for x
    x = 53,095,184.91/8,103.10
  6. Step 6: Final answer
    x = 6,552.45

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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.