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Finding the Fourth Proportional to 10,491.36, 14,483.02 and 6,720

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Solution

The fourth proportional to 10,491.36, 14,483.02 and 6,720 is: 9,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.36 : 14,483.02 = 6,720 : x
  2. Step 2: Convert to fraction form
    10,491.36/14,483.02 = 6,720/x
  3. Step 3: Cross multiply
    10,491.36x = 14,483.02 × 6,720
  4. Step 4: Simplify right side
    10,491.36x = 97,325,894.40
  5. Step 5: Solve for x
    x = 97,325,894.40/10,491.36
  6. Step 6: Final answer
    x = 9,276.77

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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.