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Finding the Fourth Proportional to 8,345.01, 11,497.59 and 5,507.34

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Solution

The fourth proportional to 8,345.01, 11,497.59 and 5,507.34 is: 7,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.01 : 11,497.59 = 5,507.34 : x
  2. Step 2: Convert to fraction form
    8,345.01/11,497.59 = 5,507.34/x
  3. Step 3: Cross multiply
    8,345.01x = 11,497.59 × 5,507.34
  4. Step 4: Simplify right side
    8,345.01x = 63,321,137.31
  5. Step 5: Solve for x
    x = 63,321,137.31/8,345.01
  6. Step 6: Final answer
    x = 7,587.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.