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Finding the Fourth Proportional to 8,303.48, 11,460.12 and 6,417.80

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Solution

The fourth proportional to 8,303.48, 11,460.12 and 6,417.80 is: 8,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.48 : 11,460.12 = 6,417.80 : x
  2. Step 2: Convert to fraction form
    8,303.48/11,460.12 = 6,417.80/x
  3. Step 3: Cross multiply
    8,303.48x = 11,460.12 × 6,417.80
  4. Step 4: Simplify right side
    8,303.48x = 73,548,758.14
  5. Step 5: Solve for x
    x = 73,548,758.14/8,303.48
  6. Step 6: Final answer
    x = 8,857.58

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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.