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Finding the Fourth Proportional to 11,258, 16,897.24 and 5,715.16

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Solution

The fourth proportional to 11,258, 16,897.24 and 5,715.16 is: 8,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258 : 16,897.24 = 5,715.16 : x
  2. Step 2: Convert to fraction form
    11,258/16,897.24 = 5,715.16/x
  3. Step 3: Cross multiply
    11,258x = 16,897.24 × 5,715.16
  4. Step 4: Simplify right side
    11,258x = 96,570,430.16
  5. Step 5: Solve for x
    x = 96,570,430.16/11,258
  6. Step 6: Final answer
    x = 8,577.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.