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Finding the Fourth Proportional to 7,496.64, 10,346.60 and 7,164.48

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Solution

The fourth proportional to 7,496.64, 10,346.60 and 7,164.48 is: 9,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.64 : 10,346.60 = 7,164.48 : x
  2. Step 2: Convert to fraction form
    7,496.64/10,346.60 = 7,164.48/x
  3. Step 3: Cross multiply
    7,496.64x = 10,346.60 × 7,164.48
  4. Step 4: Simplify right side
    7,496.64x = 74,128,008.77
  5. Step 5: Solve for x
    x = 74,128,008.77/7,496.64
  6. Step 6: Final answer
    x = 9,888.16

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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.