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Finding the Fourth Proportional to 10,483.15, 14,465.10 and 6,006.04

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Solution

The fourth proportional to 10,483.15, 14,465.10 and 6,006.04 is: 8,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.15 : 14,465.10 = 6,006.04 : x
  2. Step 2: Convert to fraction form
    10,483.15/14,465.10 = 6,006.04/x
  3. Step 3: Cross multiply
    10,483.15x = 14,465.10 × 6,006.04
  4. Step 4: Simplify right side
    10,483.15x = 86,877,969.20
  5. Step 5: Solve for x
    x = 86,877,969.20/10,483.15
  6. Step 6: Final answer
    x = 8,287.39

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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.