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Finding the Fourth Proportional to 8,406.53, 11,602.03 and 5,051.10

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Solution

The fourth proportional to 8,406.53, 11,602.03 and 5,051.10 is: 6,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.53 : 11,602.03 = 5,051.10 : x
  2. Step 2: Convert to fraction form
    8,406.53/11,602.03 = 5,051.10/x
  3. Step 3: Cross multiply
    8,406.53x = 11,602.03 × 5,051.10
  4. Step 4: Simplify right side
    8,406.53x = 58,603,001.11
  5. Step 5: Solve for x
    x = 58,603,001.11/8,406.53
  6. Step 6: Final answer
    x = 6,971.13

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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.