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Finding the Fourth Proportional to 8,646.22, 12,970.86 and 5,363.02

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Solution

The fourth proportional to 8,646.22, 12,970.86 and 5,363.02 is: 8,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.22 : 12,970.86 = 5,363.02 : x
  2. Step 2: Convert to fraction form
    8,646.22/12,970.86 = 5,363.02/x
  3. Step 3: Cross multiply
    8,646.22x = 12,970.86 × 5,363.02
  4. Step 4: Simplify right side
    8,646.22x = 69,562,981.60
  5. Step 5: Solve for x
    x = 69,562,981.60/8,646.22
  6. Step 6: Final answer
    x = 8,045.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.