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Finding the Fourth Proportional to 12,975.16, 17,904.64 and 7,308.10

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Solution

The fourth proportional to 12,975.16, 17,904.64 and 7,308.10 is: 10,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.16 : 17,904.64 = 7,308.10 : x
  2. Step 2: Convert to fraction form
    12,975.16/17,904.64 = 7,308.10/x
  3. Step 3: Cross multiply
    12,975.16x = 17,904.64 × 7,308.10
  4. Step 4: Simplify right side
    12,975.16x = 130,848,899.58
  5. Step 5: Solve for x
    x = 130,848,899.58/12,975.16
  6. Step 6: Final answer
    x = 10,084.57

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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.