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Finding the Fourth Proportional to 11,283.36, 15,564.24 and 7,088.16

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Solution

The fourth proportional to 11,283.36, 15,564.24 and 7,088.16 is: 9,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.36 : 15,564.24 = 7,088.16 : x
  2. Step 2: Convert to fraction form
    11,283.36/15,564.24 = 7,088.16/x
  3. Step 3: Cross multiply
    11,283.36x = 15,564.24 × 7,088.16
  4. Step 4: Simplify right side
    11,283.36x = 110,321,823.40
  5. Step 5: Solve for x
    x = 110,321,823.40/11,283.36
  6. Step 6: Final answer
    x = 9,777.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.