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Finding the Fourth Proportional to 8,357.65, 11,533.19 and 4,998.51

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Solution

The fourth proportional to 8,357.65, 11,533.19 and 4,998.51 is: 6,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.65 : 11,533.19 = 4,998.51 : x
  2. Step 2: Convert to fraction form
    8,357.65/11,533.19 = 4,998.51/x
  3. Step 3: Cross multiply
    8,357.65x = 11,533.19 × 4,998.51
  4. Step 4: Simplify right side
    8,357.65x = 57,648,740.55
  5. Step 5: Solve for x
    x = 57,648,740.55/8,357.65
  6. Step 6: Final answer
    x = 6,897.72

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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.