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Finding the Fourth Proportional to 8,357.49, 11,533.16 and 4,580.57

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Solution

The fourth proportional to 8,357.49, 11,533.16 and 4,580.57 is: 6,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.49 : 11,533.16 = 4,580.57 : x
  2. Step 2: Convert to fraction form
    8,357.49/11,533.16 = 4,580.57/x
  3. Step 3: Cross multiply
    8,357.49x = 11,533.16 × 4,580.57
  4. Step 4: Simplify right side
    8,357.49x = 52,828,366.13
  5. Step 5: Solve for x
    x = 52,828,366.13/8,357.49
  6. Step 6: Final answer
    x = 6,321.08

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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.