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Finding the Fourth Proportional to 11,875.64, 16,393.62 and 7,097.26

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Solution

The fourth proportional to 11,875.64, 16,393.62 and 7,097.26 is: 9,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.64 : 16,393.62 = 7,097.26 : x
  2. Step 2: Convert to fraction form
    11,875.64/16,393.62 = 7,097.26/x
  3. Step 3: Cross multiply
    11,875.64x = 16,393.62 × 7,097.26
  4. Step 4: Simplify right side
    11,875.64x = 116,349,783.48
  5. Step 5: Solve for x
    x = 116,349,783.48/11,875.64
  6. Step 6: Final answer
    x = 9,797.35

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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.