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Finding the Fourth Proportional to 10,375.68, 14,316.48 and 6,184.32

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Solution

The fourth proportional to 10,375.68, 14,316.48 and 6,184.32 is: 8,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.68 : 14,316.48 = 6,184.32 : x
  2. Step 2: Convert to fraction form
    10,375.68/14,316.48 = 6,184.32/x
  3. Step 3: Cross multiply
    10,375.68x = 14,316.48 × 6,184.32
  4. Step 4: Simplify right side
    10,375.68x = 88,537,693.59
  5. Step 5: Solve for x
    x = 88,537,693.59/10,375.68
  6. Step 6: Final answer
    x = 8,533.19

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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.