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Finding the Fourth Proportional to 8,283.60, 12,417.45 and 5,313.74

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Solution

The fourth proportional to 8,283.60, 12,417.45 and 5,313.74 is: 7,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.60 : 12,417.45 = 5,313.74 : x
  2. Step 2: Convert to fraction form
    8,283.60/12,417.45 = 5,313.74/x
  3. Step 3: Cross multiply
    8,283.60x = 12,417.45 × 5,313.74
  4. Step 4: Simplify right side
    8,283.60x = 65,983,038.68
  5. Step 5: Solve for x
    x = 65,983,038.68/8,283.60
  6. Step 6: Final answer
    x = 7,965.50

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Why These Related Problems?

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