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Finding the Fourth Proportional to 10,697.34, 14,762.09 and 5,981.63

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Solution

The fourth proportional to 10,697.34, 14,762.09 and 5,981.63 is: 8,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.34 : 14,762.09 = 5,981.63 : x
  2. Step 2: Convert to fraction form
    10,697.34/14,762.09 = 5,981.63/x
  3. Step 3: Cross multiply
    10,697.34x = 14,762.09 × 5,981.63
  4. Step 4: Simplify right side
    10,697.34x = 88,301,256.69
  5. Step 5: Solve for x
    x = 88,301,256.69/10,697.34
  6. Step 6: Final answer
    x = 8,254.51

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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.