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Finding the Fourth Proportional to 8,730.24, 12,049.59 and 5,746.33

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Solution

The fourth proportional to 8,730.24, 12,049.59 and 5,746.33 is: 7,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.24 : 12,049.59 = 5,746.33 : x
  2. Step 2: Convert to fraction form
    8,730.24/12,049.59 = 5,746.33/x
  3. Step 3: Cross multiply
    8,730.24x = 12,049.59 × 5,746.33
  4. Step 4: Simplify right side
    8,730.24x = 69,240,920.50
  5. Step 5: Solve for x
    x = 69,240,920.50/8,730.24
  6. Step 6: Final answer
    x = 7,931.16

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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.