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Finding the Fourth Proportional to 10,365.41, 15,509.84 and 6,208.35

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Solution

The fourth proportional to 10,365.41, 15,509.84 and 6,208.35 is: 9,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.41 : 15,509.84 = 6,208.35 : x
  2. Step 2: Convert to fraction form
    10,365.41/15,509.84 = 6,208.35/x
  3. Step 3: Cross multiply
    10,365.41x = 15,509.84 × 6,208.35
  4. Step 4: Simplify right side
    10,365.41x = 96,290,484.12
  5. Step 5: Solve for x
    x = 96,290,484.12/10,365.41
  6. Step 6: Final answer
    x = 9,289.60

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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.