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Finding the Fourth Proportional to 10,920.32, 15,070.02 and 6,140.28

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Solution

The fourth proportional to 10,920.32, 15,070.02 and 6,140.28 is: 8,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.32 : 15,070.02 = 6,140.28 : x
  2. Step 2: Convert to fraction form
    10,920.32/15,070.02 = 6,140.28/x
  3. Step 3: Cross multiply
    10,920.32x = 15,070.02 × 6,140.28
  4. Step 4: Simplify right side
    10,920.32x = 92,534,142.41
  5. Step 5: Solve for x
    x = 92,534,142.41/10,920.32
  6. Step 6: Final answer
    x = 8,473.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.