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Finding the Fourth Proportional to 10,688.90, 14,749.36 and 5,973.08

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Solution

The fourth proportional to 10,688.90, 14,749.36 and 5,973.08 is: 8,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.90 : 14,749.36 = 5,973.08 : x
  2. Step 2: Convert to fraction form
    10,688.90/14,749.36 = 5,973.08/x
  3. Step 3: Cross multiply
    10,688.90x = 14,749.36 × 5,973.08
  4. Step 4: Simplify right side
    10,688.90x = 88,099,018.55
  5. Step 5: Solve for x
    x = 88,099,018.55/10,688.90
  6. Step 6: Final answer
    x = 8,242.11

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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.