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Finding the Fourth Proportional to 10,261.83, 15,349 and 6,303.36

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Solution

The fourth proportional to 10,261.83, 15,349 and 6,303.36 is: 9,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.83 : 15,349 = 6,303.36 : x
  2. Step 2: Convert to fraction form
    10,261.83/15,349 = 6,303.36/x
  3. Step 3: Cross multiply
    10,261.83x = 15,349 × 6,303.36
  4. Step 4: Simplify right side
    10,261.83x = 96,750,272.64
  5. Step 5: Solve for x
    x = 96,750,272.64/10,261.83
  6. Step 6: Final answer
    x = 9,428.17

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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.