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Finding the Fourth Proportional to 8,723.76, 12,038.22 and 5,187.24

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Solution

The fourth proportional to 8,723.76, 12,038.22 and 5,187.24 is: 7,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.76 : 12,038.22 = 5,187.24 : x
  2. Step 2: Convert to fraction form
    8,723.76/12,038.22 = 5,187.24/x
  3. Step 3: Cross multiply
    8,723.76x = 12,038.22 × 5,187.24
  4. Step 4: Simplify right side
    8,723.76x = 62,445,136.31
  5. Step 5: Solve for x
    x = 62,445,136.31/8,723.76
  6. Step 6: Final answer
    x = 7,158.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.