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Finding the Fourth Proportional to 10,688.96, 14,750.52 and 5,973.68

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Solution

The fourth proportional to 10,688.96, 14,750.52 and 5,973.68 is: 8,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.96 : 14,750.52 = 5,973.68 : x
  2. Step 2: Convert to fraction form
    10,688.96/14,750.52 = 5,973.68/x
  3. Step 3: Cross multiply
    10,688.96x = 14,750.52 × 5,973.68
  4. Step 4: Simplify right side
    10,688.96x = 88,114,886.31
  5. Step 5: Solve for x
    x = 88,114,886.31/10,688.96
  6. Step 6: Final answer
    x = 8,243.54

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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.