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Finding the Fourth Proportional to 10,349.86, 15,477.10 and 7,686.48

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Solution

The fourth proportional to 10,349.86, 15,477.10 and 7,686.48 is: 11,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.86 : 15,477.10 = 7,686.48 : x
  2. Step 2: Convert to fraction form
    10,349.86/15,477.10 = 7,686.48/x
  3. Step 3: Cross multiply
    10,349.86x = 15,477.10 × 7,686.48
  4. Step 4: Simplify right side
    10,349.86x = 118,964,342.35
  5. Step 5: Solve for x
    x = 118,964,342.35/10,349.86
  6. Step 6: Final answer
    x = 11,494.30

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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.