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Finding the Fourth Proportional to 8,292.88, 11,460.54 and 6,798.40

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Solution

The fourth proportional to 8,292.88, 11,460.54 and 6,798.40 is: 9,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.88 : 11,460.54 = 6,798.40 : x
  2. Step 2: Convert to fraction form
    8,292.88/11,460.54 = 6,798.40/x
  3. Step 3: Cross multiply
    8,292.88x = 11,460.54 × 6,798.40
  4. Step 4: Simplify right side
    8,292.88x = 77,913,335.14
  5. Step 5: Solve for x
    x = 77,913,335.14/8,292.88
  6. Step 6: Final answer
    x = 9,395.21

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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.