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Finding the Fourth Proportional to 10,477.61, 15,697.94 and 5,536.34

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Solution

The fourth proportional to 10,477.61, 15,697.94 and 5,536.34 is: 8,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.61 : 15,697.94 = 5,536.34 : x
  2. Step 2: Convert to fraction form
    10,477.61/15,697.94 = 5,536.34/x
  3. Step 3: Cross multiply
    10,477.61x = 15,697.94 × 5,536.34
  4. Step 4: Simplify right side
    10,477.61x = 86,909,026.97
  5. Step 5: Solve for x
    x = 86,909,026.97/10,477.61
  6. Step 6: Final answer
    x = 8,294.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.