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Finding the Fourth Proportional to 11,784.71, 16,258.26 and 6,746.22

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Solution

The fourth proportional to 11,784.71, 16,258.26 and 6,746.22 is: 9,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.71 : 16,258.26 = 6,746.22 : x
  2. Step 2: Convert to fraction form
    11,784.71/16,258.26 = 6,746.22/x
  3. Step 3: Cross multiply
    11,784.71x = 16,258.26 × 6,746.22
  4. Step 4: Simplify right side
    11,784.71x = 109,681,763.11
  5. Step 5: Solve for x
    x = 109,681,763.11/11,784.71
  6. Step 6: Final answer
    x = 9,307.12

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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.