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Finding the Fourth Proportional to 8,494.47, 12,730.71 and 4,746.15

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Solution

The fourth proportional to 8,494.47, 12,730.71 and 4,746.15 is: 7,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.47 : 12,730.71 = 4,746.15 : x
  2. Step 2: Convert to fraction form
    8,494.47/12,730.71 = 4,746.15/x
  3. Step 3: Cross multiply
    8,494.47x = 12,730.71 × 4,746.15
  4. Step 4: Simplify right side
    8,494.47x = 60,421,859.27
  5. Step 5: Solve for x
    x = 60,421,859.27/8,494.47
  6. Step 6: Final answer
    x = 7,113.08

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