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Finding the Fourth Proportional to 11,099.76, 15,317.41 and 6,064

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Solution

The fourth proportional to 11,099.76, 15,317.41 and 6,064 is: 8,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.76 : 15,317.41 = 6,064 : x
  2. Step 2: Convert to fraction form
    11,099.76/15,317.41 = 6,064/x
  3. Step 3: Cross multiply
    11,099.76x = 15,317.41 × 6,064
  4. Step 4: Simplify right side
    11,099.76x = 92,884,774.24
  5. Step 5: Solve for x
    x = 92,884,774.24/11,099.76
  6. Step 6: Final answer
    x = 8,368.18

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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.