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Finding the Fourth Proportional to 10,164.64, 15,185.36 and 6,437.02

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Solution

The fourth proportional to 10,164.64, 15,185.36 and 6,437.02 is: 9,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.64 : 15,185.36 = 6,437.02 : x
  2. Step 2: Convert to fraction form
    10,164.64/15,185.36 = 6,437.02/x
  3. Step 3: Cross multiply
    10,164.64x = 15,185.36 × 6,437.02
  4. Step 4: Simplify right side
    10,164.64x = 97,748,466.03
  5. Step 5: Solve for x
    x = 97,748,466.03/10,164.64
  6. Step 6: Final answer
    x = 9,616.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.