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Finding the Fourth Proportional to 8,916.92, 12,305.16 and 5,140.04

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Solution

The fourth proportional to 8,916.92, 12,305.16 and 5,140.04 is: 7,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.92 : 12,305.16 = 5,140.04 : x
  2. Step 2: Convert to fraction form
    8,916.92/12,305.16 = 5,140.04/x
  3. Step 3: Cross multiply
    8,916.92x = 12,305.16 × 5,140.04
  4. Step 4: Simplify right side
    8,916.92x = 63,249,014.61
  5. Step 5: Solve for x
    x = 63,249,014.61/8,916.92
  6. Step 6: Final answer
    x = 7,093.15

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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.