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Finding the Fourth Proportional to 10,920.48, 15,070.04 and 6,444.48

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Solution

The fourth proportional to 10,920.48, 15,070.04 and 6,444.48 is: 8,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.48 : 15,070.04 = 6,444.48 : x
  2. Step 2: Convert to fraction form
    10,920.48/15,070.04 = 6,444.48/x
  3. Step 3: Cross multiply
    10,920.48x = 15,070.04 × 6,444.48
  4. Step 4: Simplify right side
    10,920.48x = 97,118,571.38
  5. Step 5: Solve for x
    x = 97,118,571.38/10,920.48
  6. Step 6: Final answer
    x = 8,893.25

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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.