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Finding the Fourth Proportional to 8,417.34, 11,603.07 and 5,429.35

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Solution

The fourth proportional to 8,417.34, 11,603.07 and 5,429.35 is: 7,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.34 : 11,603.07 = 5,429.35 : x
  2. Step 2: Convert to fraction form
    8,417.34/11,603.07 = 5,429.35/x
  3. Step 3: Cross multiply
    8,417.34x = 11,603.07 × 5,429.35
  4. Step 4: Simplify right side
    8,417.34x = 62,997,142.61
  5. Step 5: Solve for x
    x = 62,997,142.61/8,417.34
  6. Step 6: Final answer
    x = 7,484.21

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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.