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Finding the Fourth Proportional to 8,718.30, 13,070.10 and 3,784.23

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Solution

The fourth proportional to 8,718.30, 13,070.10 and 3,784.23 is: 5,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718.30 : 13,070.10 = 3,784.23 : x
  2. Step 2: Convert to fraction form
    8,718.30/13,070.10 = 3,784.23/x
  3. Step 3: Cross multiply
    8,718.30x = 13,070.10 × 3,784.23
  4. Step 4: Simplify right side
    8,718.30x = 49,460,264.52
  5. Step 5: Solve for x
    x = 49,460,264.52/8,718.30
  6. Step 6: Final answer
    x = 5,673.15

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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.