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Finding the Fourth Proportional to 10,664.40, 14,712 and 6,683.52

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Solution

The fourth proportional to 10,664.40, 14,712 and 6,683.52 is: 9,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.40 : 14,712 = 6,683.52 : x
  2. Step 2: Convert to fraction form
    10,664.40/14,712 = 6,683.52/x
  3. Step 3: Cross multiply
    10,664.40x = 14,712 × 6,683.52
  4. Step 4: Simplify right side
    10,664.40x = 98,327,946.24
  5. Step 5: Solve for x
    x = 98,327,946.24/10,664.40
  6. Step 6: Final answer
    x = 9,220.20

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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.