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Finding the Fourth Proportional to 8,332.25, 11,495.66 and 4,972.77

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Solution

The fourth proportional to 8,332.25, 11,495.66 and 4,972.77 is: 6,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.25 : 11,495.66 = 4,972.77 : x
  2. Step 2: Convert to fraction form
    8,332.25/11,495.66 = 4,972.77/x
  3. Step 3: Cross multiply
    8,332.25x = 11,495.66 × 4,972.77
  4. Step 4: Simplify right side
    8,332.25x = 57,165,248.31
  5. Step 5: Solve for x
    x = 57,165,248.31/8,332.25
  6. Step 6: Final answer
    x = 6,860.73

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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.