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Finding the Fourth Proportional to 8,386.54, 12,565.94 and 5,916.17

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Solution

The fourth proportional to 8,386.54, 12,565.94 and 5,916.17 is: 8,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.54 : 12,565.94 = 5,916.17 : x
  2. Step 2: Convert to fraction form
    8,386.54/12,565.94 = 5,916.17/x
  3. Step 3: Cross multiply
    8,386.54x = 12,565.94 × 5,916.17
  4. Step 4: Simplify right side
    8,386.54x = 74,342,239.08
  5. Step 5: Solve for x
    x = 74,342,239.08/8,386.54
  6. Step 6: Final answer
    x = 8,864.47

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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.