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Finding the Fourth Proportional to 11,284.14, 15,561.93 and 7,301.10

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Solution

The fourth proportional to 11,284.14, 15,561.93 and 7,301.10 is: 10,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.14 : 15,561.93 = 7,301.10 : x
  2. Step 2: Convert to fraction form
    11,284.14/15,561.93 = 7,301.10/x
  3. Step 3: Cross multiply
    11,284.14x = 15,561.93 × 7,301.10
  4. Step 4: Simplify right side
    11,284.14x = 113,619,207.12
  5. Step 5: Solve for x
    x = 113,619,207.12/11,284.14
  6. Step 6: Final answer
    x = 10,068.93

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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.