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Finding the Fourth Proportional to 8,275.76, 12,419.04 and 7,608.32

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Solution

The fourth proportional to 8,275.76, 12,419.04 and 7,608.32 is: 11,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.76 : 12,419.04 = 7,608.32 : x
  2. Step 2: Convert to fraction form
    8,275.76/12,419.04 = 7,608.32/x
  3. Step 3: Cross multiply
    8,275.76x = 12,419.04 × 7,608.32
  4. Step 4: Simplify right side
    8,275.76x = 94,488,030.41
  5. Step 5: Solve for x
    x = 94,488,030.41/8,275.76
  6. Step 6: Final answer
    x = 11,417.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.