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Finding the Fourth Proportional to 8,374.47, 11,556.98 and 4,598.01

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Solution

The fourth proportional to 8,374.47, 11,556.98 and 4,598.01 is: 6,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.47 : 11,556.98 = 4,598.01 : x
  2. Step 2: Convert to fraction form
    8,374.47/11,556.98 = 4,598.01/x
  3. Step 3: Cross multiply
    8,374.47x = 11,556.98 × 4,598.01
  4. Step 4: Simplify right side
    8,374.47x = 53,139,109.61
  5. Step 5: Solve for x
    x = 53,139,109.61/8,374.47
  6. Step 6: Final answer
    x = 6,345.37

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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.