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Finding the Fourth Proportional to 7,715.64, 10,645.74 and 4,571.28

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Solution

The fourth proportional to 7,715.64, 10,645.74 and 4,571.28 is: 6,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.64 : 10,645.74 = 4,571.28 : x
  2. Step 2: Convert to fraction form
    7,715.64/10,645.74 = 4,571.28/x
  3. Step 3: Cross multiply
    7,715.64x = 10,645.74 × 4,571.28
  4. Step 4: Simplify right side
    7,715.64x = 48,664,658.35
  5. Step 5: Solve for x
    x = 48,664,658.35/7,715.64
  6. Step 6: Final answer
    x = 6,307.27

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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.