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Finding the Fourth Proportional to 8,358.63, 11,534.82 and 4,582.01

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Solution

The fourth proportional to 8,358.63, 11,534.82 and 4,582.01 is: 6,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.63 : 11,534.82 = 4,582.01 : x
  2. Step 2: Convert to fraction form
    8,358.63/11,534.82 = 4,582.01/x
  3. Step 3: Cross multiply
    8,358.63x = 11,534.82 × 4,582.01
  4. Step 4: Simplify right side
    8,358.63x = 52,852,602.91
  5. Step 5: Solve for x
    x = 52,852,602.91/8,358.63
  6. Step 6: Final answer
    x = 6,323.12

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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.