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Finding the Fourth Proportional to 7,658.64, 11,465.66 and 5,693.00

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Solution

The fourth proportional to 7,658.64, 11,465.66 and 5,693.00 is: 8,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.64 : 11,465.66 = 5,693.00 : x
  2. Step 2: Convert to fraction form
    7,658.64/11,465.66 = 5,693.00/x
  3. Step 3: Cross multiply
    7,658.64x = 11,465.66 × 5,693.00
  4. Step 4: Simplify right side
    7,658.64x = 65,273,916.59
  5. Step 5: Solve for x
    x = 65,273,916.59/7,658.64
  6. Step 6: Final answer
    x = 8,522.91

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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.