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Finding the Fourth Proportional to 8,264.68, 11,404.98 and 4,538.60

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Solution

The fourth proportional to 8,264.68, 11,404.98 and 4,538.60 is: 6,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.68 : 11,404.98 = 4,538.60 : x
  2. Step 2: Convert to fraction form
    8,264.68/11,404.98 = 4,538.60/x
  3. Step 3: Cross multiply
    8,264.68x = 11,404.98 × 4,538.60
  4. Step 4: Simplify right side
    8,264.68x = 51,762,642.23
  5. Step 5: Solve for x
    x = 51,762,642.23/8,264.68
  6. Step 6: Final answer
    x = 6,263.12

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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.