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Finding the Fourth Proportional to 8,477.60, 12,713.36 and 2,929.50

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Solution

The fourth proportional to 8,477.60, 12,713.36 and 2,929.50 is: 4,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.60 : 12,713.36 = 2,929.50 : x
  2. Step 2: Convert to fraction form
    8,477.60/12,713.36 = 2,929.50/x
  3. Step 3: Cross multiply
    8,477.60x = 12,713.36 × 2,929.50
  4. Step 4: Simplify right side
    8,477.60x = 37,243,773.47
  5. Step 5: Solve for x
    x = 37,243,773.47/8,477.60
  6. Step 6: Final answer
    x = 4,393.20

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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.