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Finding the Fourth Proportional to 10,671.85, 14,712.33 and 6,690.30

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Solution

The fourth proportional to 10,671.85, 14,712.33 and 6,690.30 is: 9,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.85 : 14,712.33 = 6,690.30 : x
  2. Step 2: Convert to fraction form
    10,671.85/14,712.33 = 6,690.30/x
  3. Step 3: Cross multiply
    10,671.85x = 14,712.33 × 6,690.30
  4. Step 4: Simplify right side
    10,671.85x = 98,429,901.40
  5. Step 5: Solve for x
    x = 98,429,901.40/10,671.85
  6. Step 6: Final answer
    x = 9,223.32

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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.