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Finding the Fourth Proportional to 8,730.08, 13,095.24 and 8,053

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Solution

The fourth proportional to 8,730.08, 13,095.24 and 8,053 is: 12,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.08 : 13,095.24 = 8,053 : x
  2. Step 2: Convert to fraction form
    8,730.08/13,095.24 = 8,053/x
  3. Step 3: Cross multiply
    8,730.08x = 13,095.24 × 8,053
  4. Step 4: Simplify right side
    8,730.08x = 105,455,967.72
  5. Step 5: Solve for x
    x = 105,455,967.72/8,730.08
  6. Step 6: Final answer
    x = 12,079.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.